Defining relations for Lie superalgebras with Cartan matrix - INSPIRE

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Defining relations for Lie superalgebras with Cartan matrix

Pavel Grozman
(
- Stockholm U.
)
,
Dimitry Leites
(
- Stockholm U.
)

Feb, 1997

19 pages

Published in:

Czech.J.Phys. 51 (2001) 1-22

e-Print:

hep-th/9702073 [hep-th]

DOI:

10.1023/A:1026642004008

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Abstract:

We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizable. There are non-Serre relations encountered. In certain cases there are infinitely many relations. Our results are applicable to the Lie algebras with the same Cartan matrices as the Lie superalgebras considered.

References(8)

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On the Defining relations of quantum superalgebras

Roberto Floreanini
(
- INFN, Trieste and
- Trieste U.
)
,
Dimitry A. Leites
(
- Stockholm U.
)
,
Luc Vinet
(
- Montreal U.
)

- Lett.Math.Phys. 23 (1991) 127-132
•
DOI:
- 10.1007/BF00703725

- Adv.Math. 26 2

- Russ.Math.Surveys 35 3

- Commun.Algebra 17 1815

- Int.J.Math. 5 389

- J.Math.Phys. 34 3780

- Proc.Japan Acad. 67 108

- Publ.Res.Inst.Math.Sci.Kyoto 25 503