Brylinski, J.L (JeanLuc)
Overview
Works:  24 works in 114 publications in 5 languages and 1,906 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Author of introduction, Editor, Contributor 
Classifications:  QA612.76, 514.24 
Publication Timeline
.
Most widely held works by
J.L Brylinski
Loop spaces, characteristic classes, and geometric quantization by
J.L Brylinski(
Book
)
27 editions published between 1992 and 2008 in English and Spanish and held by 373 WorldCat member libraries worldwide
27 editions published between 1992 and 2008 in English and Spanish and held by 373 WorldCat member libraries worldwide
Nilpotent orbits, primitive ideals, and characteristic classes : a geometric perspective in ring theory by
W Borho(
Book
)
14 editions published between 1988 and 1989 in English and held by 329 WorldCat member libraries worldwide
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development.  A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem.  The classification of irreducible Weyl group representations is quite old
14 editions published between 1988 and 1989 in English and held by 329 WorldCat member libraries worldwide
1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development.  A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem.  The classification of irreducible Weyl group representations is quite old
Lie theory and geometry : in honor of Bertram Kostant by
J.L Brylinski(
Book
)
14 editions published in 1994 in English and German and held by 291 WorldCat member libraries worldwide
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work
14 editions published in 1994 in English and German and held by 291 WorldCat member libraries worldwide
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work
Advances in geometry(
Book
)
13 editions published between 1998 and 1999 in English and Undetermined and held by 254 WorldCat member libraries worldwide
This collection of invited mathematical papers by an impressive list of distinguished mathematicians is an outgrowth of the scientific activities at the Center for Geometry and Mathematical Physics of Penn State University
13 editions published between 1998 and 1999 in English and Undetermined and held by 254 WorldCat member libraries worldwide
This collection of invited mathematical papers by an impressive list of distinguished mathematicians is an outgrowth of the scientific activities at the Center for Geometry and Mathematical Physics of Penn State University
Géométrie et analyse microlocales by
J.L Brylinski(
Book
)
13 editions published in 1986 in French and English and held by 163 WorldCat member libraries worldwide
13 editions published in 1986 in French and English and held by 163 WorldCat member libraries worldwide
Systems of microdifferential equations by
Masaki Kashiwara(
Book
)
5 editions published in 1983 in English and held by 36 WorldCat member libraries worldwide
5 editions published in 1983 in English and held by 36 WorldCat member libraries worldwide
Contributions à la théorie des groupes by
J.L Brylinski(
Book
)
5 editions published in 1981 in French and Undetermined and held by 12 WorldCat member libraries worldwide
5 editions published in 1981 in French and Undetermined and held by 12 WorldCat member libraries worldwide
Complex manifolds(
Book
)
3 editions published between 1997 and 1998 in English and held by 10 WorldCat member libraries worldwide
3 editions published between 1997 and 1998 in English and held by 10 WorldCat member libraries worldwide
Central extensions of reductive groups by K₂ by
J.L Brylinski(
Book
)
4 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 2001 in English and held by 8 WorldCat member libraries worldwide
Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David BenZvi and Edward
Frenkel [u.a.] by
J.L Brylinski(
Book
)
1 edition published in 2001 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 5 WorldCat member libraries worldwide
Lie theorie and geometry : in honor of Bertram Kostant(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Nilpotent orbits, primitive ideals, and characteristics classes : a geometric perspective in ring theory by
W Borho(
Book
)
1 edition published in 1989 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in Italian and held by 2 WorldCat member libraries worldwide
AG Algebra: Algebraische Theorie der Systeme partieller Differentialgleichungen 9.6. bis 13.6.1985(
Book
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Lie theory and geometry : in honor of Bertram Kostant : Symposium entitled "Lie theory, algebra and geometric quantization"
: Selected papers(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Differential operators on homogeneous spaces by
W Borho(
Book
)
2 editions published in 1986 in German and English and held by 1 WorldCat member library worldwide
2 editions published in 1986 in German and English and held by 1 WorldCat member library worldwide
Advances in geometry : volume 1 by
J.L Brylinski(
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
Contributions à la théorie des groupes : Propositions données par l'université by
J.L Brylinski(
)
1 edition published in 1981 in French and held by 1 WorldCat member library worldwide
1 edition published in 1981 in French and held by 1 WorldCat member library worldwide
Analyse et topologie sur les espaces singuliers : CIRM, 610 juillet 1981 by Analyse et topologie sur les espaces singuliers(col·loqui)(
Book
)
1 edition published in 1982 in French and held by 1 WorldCat member library worldwide
1 edition published in 1982 in French and held by 1 WorldCat member library worldwide
Cohomology of a type of affine hypersurfaces by
J.L Brylinski(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Analyse et topologie sur les espaces singuliers by
Bernard Teissier(
Book
)
1 edition published in 1983 in French and held by 1 WorldCat member library worldwide
1 edition published in 1983 in French and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Borho, W. (Walter) 1945 Author Editor
 MacPherson, Robert 1944
 Kostant, Bertram Honoree Dedicatee
 Fernandes, T. Monteiro (Teresa Monteiro) Author of introduction Translator Contributor
 Kashiwara, Masaki Author
 Brylinski, Ranee Editor
 Deligne, Pierre
 Frenkel, Edward
 BenZvi, David
 Bell, Steven Robert (19......).
Useful Links
Associated Subjects
Algebra Algebraic topology Bernstein polynomials Characteristic classes Complex manifolds Differential equations, Linear Differential equations, Partial Geometry Geometry, Algebraic Geometry, Differential Global differential geometry Group theory Hodge theory Homology theory Ktheory Lie groups Loop spaces Mathematical physics Mathematics Microlocal analysis Remmert, Reinhold Rings (Algebra) Sheaf theory Singularities (Mathematics) Topological groups Topology
Alternative Names
Brylinski, J.L.
Brylinski, J.L. 1951
Brylinski, Jean L. 1951
Brylinski, JeanLuc
Brylinski, JeanLuc 1951
JeanLuc Brylinski fransk matematikar
JeanLuc Brylinski fransk matematiker
JeanLuc Brylinski franzsischer Mathematiker
JeanLuc Brylinski French mathematician
Languages
Covers