WorldCat Identities

Kassel, Christian

Overview
Works: 39 works in 128 publications in 5 languages and 2,006 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Thesis advisor
Classifications: QC20.7.G76, 512.55
Publication Timeline
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Most widely held works by Christian Kassel
Quantum groups by Christian Kassel( Book )

19 editions published between 1995 and 2012 in 4 languages and held by 570 WorldCat member libraries worldwide

This book provides an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and on Drinfeld's recent fundamental contributions. The first part presents in detail the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Part Two focuses on Hopf algebras that produce solutions of the Yang-Baxter equation, and on Drinfeld's quantum double construction. In the following part we construct isotopy invariants of knots and links in the three-dimensional Euclidean space, using the language of tensor categories. The last part is an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations, culminating in the construction of Kontsevich's universal knot invariant
Braid groups by Christian Kassel( Book )

27 editions published between 2006 and 2011 in English and Undetermined and held by 320 WorldCat member libraries worldwide

"Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces." "In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence-Krammer-Bigelow representations of the braid groups, the Alexander-Conway and Jones link polynomials, connections with the representation theory of the Iwahori-Hecke algebras, and the Garside structure and order abllity of the braid groups." "This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory."--Jacket
Quantum groups and knot invariants by Christian Kassel( Book )

11 editions published in 1997 in English and French and held by 182 WorldCat member libraries worldwide

Homologie du groupe linéaire général et K-théorie stable by Christian Kassel( Book )

6 editions published in 1981 in French and Undetermined and held by 20 WorldCat member libraries worldwide

K-theory : Strasbourg, 1992 by Colloque international de K-Théorie( Book )

1 edition published in 1994 in English and held by 18 WorldCat member libraries worldwide

Cours sur les groupes quantiques by Christian Kassel( Book )

3 editions published in 1992 in French and held by 11 WorldCat member libraries worldwide

Kaehler differentials and coverings of complex simple Lie algebras extended over a commutative algebra by Christian Kassel( Book )

1 edition published in 1984 in English and held by 10 WorldCat member libraries worldwide

Caractère de Chern bivariant by Christian Kassel( Book )

5 editions published between 1988 and 1989 in 4 languages and held by 10 WorldCat member libraries worldwide

Double construction for monoidal categories by Christian Kassel( Book )

2 editions published in 1992 in French and English and held by 8 WorldCat member libraries worldwide

Extensions centrales d'algèbres de Lie by Christian Kassel( Book )

1 edition published in 1982 in French and held by 7 WorldCat member libraries worldwide

Bivariant cyclic theory by J. D. S Jones( Book )

3 editions published in 1988 in French and English and held by 7 WorldCat member libraries worldwide

Calcul algébrique de l'homologie de certains groupes de matrices by Christian Kassel( Book )

2 editions published between 1981 and 1982 in French and held by 7 WorldCat member libraries worldwide

Caractère de Chern et opérations d'Adams en homologie cyclique, algèbres de Gerstenhaber et théorème de formalité by Grégory Ginot( Book )

2 editions published in 2002 in French and held by 6 WorldCat member libraries worldwide

Cette thèse est consacrée à plusieurs points d'algèbre homologique relevant de ce que Connes a appelé la géométrie non commutative etde travaux récents de Kontsevich sur la quantification des variétés de Poisson. Dans la première partie on donne une formule explicite pour le caractère de Chern algébrique. On applique cette formule àdifférents éléments de la k-théorie algébrique. On en déduit aussi de nouvelles preuves de résultat classique en homologie cyclique. La deuxième partie est consacrée à la construction d'opérationsd'Adams sur l'homologie de Hochschild et cyclique topologique d'un"anneau à homotopie près" et à l'étude de leurs propriétés. La troisièmepartie est consacrée à la description explicite du modèle minimal desalgèbres de Gerstenhaber et de leur homologie donnés par la théorie desopérades. La dernière partie est consacrée à une généralisation du théorème de formalité donné par Tamarkin au cas d'une variété de Poisson
Stabilisation de la K-théorie algébrique des espaces topologiques by Christian Kassel( Book )

3 editions published between 1982 and 1983 in French and held by 6 WorldCat member libraries worldwide

Biquantization of Lie bialgebras by Christian Kassel( Book )

3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide

Factorizations in Schubert cells by Christian Kassel( Book )

3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide

La K-théorie stable by Christian Kassel( Book )

2 editions published between 1981 and 1982 in French and held by 6 WorldCat member libraries worldwide

The singular locus of a Schubert variety by Christian Kassel( Book )

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

A Kuenneth formula for the cyclic cohomology of (...) /2-graded algebras by Christian Kassel( Book )

2 editions published in 1986 in English and held by 5 WorldCat member libraries worldwide

Homologie des algebres quantiques by Marc Wambst( Book )

2 editions published in 1993 in French and held by 5 WorldCat member libraries worldwide

CETTE THESE EST CONSACREE A L'ETUDE HOMOLOGIQUE DE DEFORMATIONS NON COMMUTATIVES D'ALGEBRES COMMUTATIVES: LES ALGEBRES QUANTIQUES. DANS LA PREMIERE PARTIE, NOUS CALCULONS L'HOMOLOGIE DE HOCHSCHILD DE DEFORMATIONS DE L'ALGEBRE SYMETRIQUE RELATIVEMENT A UN OPERATEUR DE YANG-BAXTER. POUR CELA, NOUS CONSTRUISONS DES ANALOGUES QUANTIQUES DES COMPLEXES DE KOSZUL. NOUS DEVELOPPONS ENSUITE UNE NOTION D'ALGEBRE DE LIE QUANTIQUE POUR LAQUELLE NOUS CONSTRUISONS DES ANALOGUES QUANTIQUES DES COMPLEXES DE CHEVALLEY-EILENBERG. DANS LA DEUXIEME PARTIE, NOUS MENONS UNE ETUDE SYSTEMATIQUE DE L'HOMOLOGUE DE HOCHSCHILD TRESSEE D'ALGEBRES D'UNE CATEGORIE TRESSEE DEFINIE PAR J. BAEZ. NOUS DEMONTRONS DES ANALOGUES TRESSES DE PROPRIETES USUELLES DE L'HOMOLOGIE DE HOCHSCHILD TELLES QU'UNE FORMULE DE KUNNETH, LA MORITA-INVARIANCE, UNE DECOMPOSITION DE HODGE, ETC. EN TROISIEME PARTIE, NOUS DONNONS UNE APPLICATION DES CONSTRUCTIONS DE LA PREMIERE PARTIE EN DECRIVANT DES COMPLEXES DE KOSZUL QUANTIQUES POUR LES ALGEBRES DE LIE TRESSEES DEFINIES PAR S. MAJID
 
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Audience level: 0.61 (from 0.42 for Braid grou ... to 0.90 for Biquantiza ...)

Quantum groups
Alternative Names
Christian Kassel Frans wiskundige

Christian Kassel französischer Mathematiker

Christian Kassel French mathematician

Languages
English (66)

French (27)

German (1)

Italian (1)

Russian (1)

Covers
Braid groupsQuantum groups and knot invariants