Cohomology of tensor product of quantum planes

Paolo Papi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1992)

  • Volume: 3, Issue: 1, page 5-13
  • ISSN: 1120-6330

Abstract

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We consider the Lie algebra of inner derivations of the n -fold tensor product of Manin quantum planes and compute its second cohomology group with trivial coefficients.

How to cite

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Papi, Paolo. "Cohomology of tensor product of quantum planes." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 3.1 (1992): 5-13. <http://eudml.org/doc/244159>.

@article{Papi1992,
abstract = {We consider the Lie algebra of inner derivations of the \( n \)-fold tensor product of Manin quantum planes and compute its second cohomology group with trivial coefficients.},
author = {Papi, Paolo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Lie algebra; Cohomology; Non-commutative space; Laurent polynomial ring; Lie algebra of inner derivations; quantum planes; second cohomology},
language = {eng},
month = {3},
number = {1},
pages = {5-13},
publisher = {Accademia Nazionale dei Lincei},
title = {Cohomology of tensor product of quantum planes},
url = {http://eudml.org/doc/244159},
volume = {3},
year = {1992},
}

TY - JOUR
AU - Papi, Paolo
TI - Cohomology of tensor product of quantum planes
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1992/3//
PB - Accademia Nazionale dei Lincei
VL - 3
IS - 1
SP - 5
EP - 13
AB - We consider the Lie algebra of inner derivations of the \( n \)-fold tensor product of Manin quantum planes and compute its second cohomology group with trivial coefficients.
LA - eng
KW - Lie algebra; Cohomology; Non-commutative space; Laurent polynomial ring; Lie algebra of inner derivations; quantum planes; second cohomology
UR - http://eudml.org/doc/244159
ER -

References

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  1. DE CONCINI, C. - KAC, V., Representation of quantum groups at roots of 1. In: Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory. Progress in Math., n. 92, Birkhauser, 1991, 471-509. Zbl0738.17008
  2. KIRKMAN, E. - PROCESI, C. - SMALL, L., A q -analog for the Virasoro algebra. Preprint, l, 1990. Zbl0813.17009MR1280096DOI10.1080/00927879408825052
  3. Yu MANIN, , Quantum groups and non-commutative geometry. Les Publ. du Centres de Recherches Math., Université de Montreal, 1988. Zbl0724.17006MR1016381
  4. J. C. Mc CONNELL, - PETTIT, J. J., Crossed product and multiplicative analog of Weyl algebras. J. London Math. Soc, (2) 38, 1988, 47-55. Zbl0652.16007MR949080DOI10.1112/jlms/s2-38.1.47

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