中島, 啓 (1962 )
Overview
Works:  27 works in 57 publications in 3 languages and 405 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
啓 中島
Lectures on Hilbert schemes of points on surfaces by
Hiraku Nakajima(
Book
)
13 editions published in 1999 in English and held by 241 WorldCat member libraries worldwide
This beautifully written book deals with one shining example: the Hilbert schemes of points on algebraic surfaces ... The topics are carefully and tastefully chosen ... The young person will profit from reading this book. Mathematical Reviews The Hilbert scheme of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for 0dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theoryeven theoretical physics. The discussion in the book reflects this feature of Hilbert schemes. One example of the modern, broader interest in the subject is a construction of the representation of the infinitedimensional Heisenberg algebra, i.e., Fock space. This representation has been studied extensively in the literature in connection with affine Lie algebras, conformal field theory, etc. However, the construction presented in this volume is completely unique and provides an unexplored link between geometry and representation theory. The book offers an attractive survey of current developments in this rapidly growing subject. It is suitable as a text at the advanced graduate level
13 editions published in 1999 in English and held by 241 WorldCat member libraries worldwide
This beautifully written book deals with one shining example: the Hilbert schemes of points on algebraic surfaces ... The topics are carefully and tastefully chosen ... The young person will profit from reading this book. Mathematical Reviews The Hilbert scheme of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for 0dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theoryeven theoretical physics. The discussion in the book reflects this feature of Hilbert schemes. One example of the modern, broader interest in the subject is a construction of the representation of the infinitedimensional Heisenberg algebra, i.e., Fock space. This representation has been studied extensively in the literature in connection with affine Lie algebras, conformal field theory, etc. However, the construction presented in this volume is completely unique and provides an unexplored link between geometry and representation theory. The book offers an attractive survey of current developments in this rapidly growing subject. It is suitable as a text at the advanced graduate level
Instanton moduli spaces and Walgebras by
Alexander Braverman(
Book
)
5 editions published in 2016 in English and French and held by 54 WorldCat member libraries worldwide
5 editions published in 2016 in English and French and held by 54 WorldCat member libraries worldwide
Representation theory of algebraic groups and quantum groups by
Akihiko Gyoja(
)
9 editions published between 2010 and 2011 in English and held by 28 WorldCat member libraries worldwide
This volume contains invited articles by topnotch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and associated Hecke algebras. Representation Theory of Algebraic Groups and Quantum Groups is intended for graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics. Contributors:H. H. Andersen, S. Ariki, C. Bonnafé, J. Chuang, J. Du, M. Finkelberg, Q. Fu, M. Geck, V. Ginzburg, A. Hida, L. Iancu, N. Jacon, T. Lam, G.I. Lehrer, G. Lusztig, H. Miyachi, S. Naito, H. Nakajima, T. Nakashima, D. Sagaki, Y. Saito, M. Shiota, J. Xiao, F. Xu, R.B. Zhang
9 editions published between 2010 and 2011 in English and held by 28 WorldCat member libraries worldwide
This volume contains invited articles by topnotch experts who focus on such topics as: modular representations of algebraic groups, representations of quantum groups and crystal bases, representations of affine Lie algebras, representations of affine Hecke algebras, modular or ordinary representations of finite reductive groups, and representations of complex reflection groups and associated Hecke algebras. Representation Theory of Algebraic Groups and Quantum Groups is intended for graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics. Contributors:H. H. Andersen, S. Ariki, C. Bonnafé, J. Chuang, J. Du, M. Finkelberg, Q. Fu, M. Geck, V. Ginzburg, A. Hida, L. Iancu, N. Jacon, T. Lam, G.I. Lehrer, G. Lusztig, H. Miyachi, S. Naito, H. Nakajima, T. Nakashima, D. Sagaki, Y. Saito, M. Shiota, J. Xiao, F. Xu, R.B. Zhang
Hisenkei mondai to fukuso kikagaku by
Hiraku Nakajima(
Book
)
4 editions published between 1999 and 2008 in Japanese and held by 7 WorldCat member libraries worldwide
4 editions published between 1999 and 2008 in Japanese and held by 7 WorldCat member libraries worldwide
Nihon no gendai sūgaku : Atarashii tenkai o mezashite(
Book
)
2 editions published in 2010 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2010 in Japanese and held by 4 WorldCat member libraries worldwide
Bibun kikagaku no saisentan = Surveys in geometry, special edition by
Hiraku Nakajima(
Book
)
2 editions published in 2005 in Japanese and held by 4 WorldCat member libraries worldwide
2 editions published in 2005 in Japanese and held by 4 WorldCat member libraries worldwide
Sūgaku no mikaiketsu mondai : nijūisseiki sūgaku eno joshō(
Book
)
2 editions published in 2003 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 2003 in Japanese and held by 2 WorldCat member libraries worldwide
The first Takagi Lectures : 25th26th November 2006, Kyoto(
Book
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
The ninth Takagi Lectures : 4 June 2011, Kyoto(
Book
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
The sixteenth Takagi Lectures : 2829 November 2015, Tokyo(
Book
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Astérisque by
Alexander Braverman(
Book
)
1 edition published in 2016 in French and held by 1 WorldCat member library worldwide
1 edition published in 2016 in French and held by 1 WorldCat member library worldwide
The second Takagi Lectures : 26th27th May 2007, Tokyo(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The eleventh Takagi Lectures : 1718 November 2012, Tokyo(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
The eighteenth Takagi Lectures : 5  6 November 2016, Tokyo(
Book
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
The fourth Takagi Lectures : 21st June 2008, Kyoto(
Book
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Iwanami kōza gendai sūgaku no tenkai(
Book
)
1 edition published in 1999 in Japanese and held by 1 WorldCat member library worldwide
1 edition published in 1999 in Japanese and held by 1 WorldCat member library worldwide
The tenth Takagi Lectures : 26 May 2012, Kyoto(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
The thirteenth Takagi Lectures : 1617 November 2013, Kyoto(
Book
)
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
1 edition published in 2013 in English and held by 1 WorldCat member library worldwide
The third Takagi Lectures : 23th November 2007, Tokyo(
Book
)
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
The eighth Takagi Lectures : 23 November 2010, Kyoto(
Book
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Braverman, Alexander 1974 Author
 Finkelberg, Michael 1967
 Shoji, Toshiaki Editor
 Gyoja, Akihiko Author Editor
 Shinoda, Kenichi Editor
 Tanisaki, Toshiyuki Editor
 NihonSūgakkai Editor
 Saito, Takeshi Editor
 Kawahigashi, Yasuyuki Editor
 Ono, Kaoru Editor
Useful Links
Associated Subjects
Algebra C*algebras Geometry, Algebraic Group algebras Group theory Hilbert schemes Instantons Lie groups Linear algebraic groups Mathematical physics Mathematics Moduli theory Number theory Quantum groups Representations of algebras Representations of groups Stochastic analysis Surfaces, Algebraic Topological groups Vertex operator algebras Von Neumann algebras
Alternative Names
Hiraku Nakajima
Hiraku Nakajima Japanese mathematician
Hiraku Nakajima japanischer Mathematiker
Hiraku Nakajima Japans wiskundige
Hiraku Nakajima matemático japonés
Hiraku Nakajima mathématicien japonais
Nakajima, H
Nakajima, Hiraku
Nakajima, Hiraku 1962
Накадзима, Хираку
ナカジマ, ヒラク
ナカジマ, ヒラク 1962
中島啓 1962
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