WorldCat Identities

Brylinski, J.-L (Jean-Luc)

Overview
Works: 16 works in 108 publications in 5 languages and 1,957 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, ed, Contributor
Classifications: QA612.76, 514.24
Publication Timeline
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Most widely held works by J.-L Brylinski
Loop spaces, characteristic classes, and geometric quantization by J.-L Brylinski( Book )

29 editions published between 1992 and 2008 in English and Spanish and held by 392 WorldCat member libraries worldwide

Nilpotent orbits, primitive ideals, and characteristic classes : a geometric perspective in ring theory by W Borho( Book )

15 editions published between 1988 and 1989 in 3 languages and held by 343 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 )

17 editions published in 1994 in 3 languages and held by 302 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 in 1999 in English and held by 259 WorldCat member libraries worldwide

The articles present new results or discuss interesting perspectives on recent work that will be of interest to researchers and graduate students working in symplectic geometry and geometric quantization, deformation quantization, non-commutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes
Géométrie et analyse microlocales by J.-L Brylinski( Book )

13 editions published in 1986 in French and English and held by 169 WorldCat member libraries worldwide

Central extensions of reductive groups by K 2. Spectral curves, opers and integrable systems / by David Ben-Zvi and Edward Frenkel [u.a.] by J.-L Brylinski( Book )

5 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide

Complex manifolds( Book )

3 editions published between 1997 and 1998 in English and held by 11 WorldCat member libraries worldwide

Journées automorphes by James Arthur( Book )

3 editions published in 1983 in 3 languages and held by 3 WorldCat member libraries worldwide

Analyse et topologie sur les espaces singuliers : CIRM, 6-10 juillet 1981 by Colloque Analyse et topologie sur les espaces singuliers( Book )

2 editions published between 1982 and 1983 in French and held by 2 WorldCat member libraries worldwide

Relative enveloping algebras by W Borho( Book )

in Undetermined and held by 2 WorldCat member libraries 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

Transformations canoniques, dualité projective, théorie de lefschetz, transformations de fourier et sommes trigonométriques by J.-L Brylinski( Book )

1 edition published in 1982 in French 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

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

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

Lie Theory and Geometry : In Honor of Bertram Kostant by J Oesterlé( )

1 edition published in 1994 in English and held by 0 WorldCat member libraries worldwide

 
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Audience Level
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Audience Level
1
  Kids General Special  
Audience level: 0.69 (from 0.61 for Loop space ... to 0.95 for Relative e ...)

Loop spaces, characteristic classes, and geometric quantization
Alternative Names
Brylinski, J.-L.

Brylinski, J.-L. 1951-

Brylinski, Jean L. 1951-

Brylinski, Jean-Luc

Jean-Luc Brylinski Frans wiskundige

Jean-Luc Brylinski fransk matematikar

Jean-Luc Brylinski fransk matematiker

Jean-Luc Brylinski französischer Mathematiker

Jean-Luc Brylinski French mathematician

Jean-Luc Brylinski mathématicien français

Languages
English (86)

French (14)

German (3)

Italian (1)

Spanish (1)

Covers
Nilpotent orbits, primitive ideals, and characteristic classes : a geometric perspective in ring theoryLie theory and geometry : in honor of Bertram KostantAdvances in geometryComplex manifolds