WorldCat Identities

Brylinski, J.-L (Jean-Luc)

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
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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

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
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
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
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

Systems of microdifferential equations by Masaki Kashiwara( Book )

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

Complex manifolds( Book )

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

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 )

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

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

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

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

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

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

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

Analyse et topologie sur les espaces singuliers : CIRM, 6-10 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

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

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

 
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Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.69 (from 0.60 for Loop space ... to 0.98 for Nilpotent ...)

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

Brylinski, J.-L. 1951-

Brylinski, Jean L. 1951-

Brylinski, Jean-Luc

Brylinski, Jean-Luc 1951-

Jean-Luc Brylinski fransk matematikar

Jean-Luc Brylinski fransk matematiker

Jean-Luc Brylinski franzsischer Mathematiker

Jean-Luc Brylinski French mathematician

Languages
English (87)

French (17)

German (2)

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 manifoldsLie theorie and geometry : in honor of Bertram KostantNilpotent orbits, primitive ideals, and characteristics classes : a geometric perspective in ring theoryLie theory and geometry : in honor of Bertram Kostant : Symposium entitled "Lie theory, algebra and geometric quantization" : Selected papers