Hochschild and cyclic homology of quantum groups

Ping Feng; Boris Tsygan

doi:10.1007/BF02099132

Hochschild and cyclic homology of quantum groups

Ping Feng^*, Boris Tsygan

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

For an arbitrary complex linear semisimple Lie group G, we consider Hopf algebras of the deformations of the formal and algebraic functions on G. The Hochschild and cyclic homology of these Hopf algebras are computed when the value of the deformation parameter is generic.

Original language	English (US)
Pages (from-to)	481-521
Number of pages	41
Journal	Communications in Mathematical Physics
Volume	140
Issue number	3
DOIs	https://doi.org/10.1007/BF02099132
State	Published - Oct 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02099132

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title = "Hochschild and cyclic homology of quantum groups",

abstract = "For an arbitrary complex linear semisimple Lie group G, we consider Hopf algebras of the deformations of the formal and algebraic functions on G. The Hochschild and cyclic homology of these Hopf algebras are computed when the value of the deformation parameter is generic.",

author = "Ping Feng and Boris Tsygan",

year = "1991",

month = oct,

doi = "10.1007/BF02099132",

language = "English (US)",

volume = "140",

pages = "481--521",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

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AU - Feng, Ping

AU - Tsygan, Boris

PY - 1991/10

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AB - For an arbitrary complex linear semisimple Lie group G, we consider Hopf algebras of the deformations of the formal and algebraic functions on G. The Hochschild and cyclic homology of these Hopf algebras are computed when the value of the deformation parameter is generic.

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U2 - 10.1007/BF02099132

DO - 10.1007/BF02099132

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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ER -

Hochschild and cyclic homology of quantum groups

Abstract

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