Residue Complex for Sklyanin Algebras of Dimension Three

Kaushal Ajitabh

doi:10.1006/aima.1998.1807

Residue Complex for Sklyanin Algebras of Dimension Three

Advances in Mathematics ◽

10.1006/aima.1998.1807 ◽

1999 ◽

Vol 144 (2) ◽

pp. 137-160 ◽

Cited By ~ 4

Author(s):

Kaushal Ajitabh

Keyword(s):

Sklyanin Algebras

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Quantum Heisenberg groups and sklyanin algebras

Letters in Mathematical Physics ◽

10.1007/bf00761709 ◽

1994 ◽

Vol 31 (3) ◽

pp. 167-177 ◽

Cited By ~ 1

Author(s):

Nicol�s Andruskiewitsch ◽

Jorge Devoto ◽

Alejandro Tiraboschi

Keyword(s):

Heisenberg Groups ◽

Sklyanin Algebras

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Sklyanin algebras and Hilbert schemes of points

Advances in Mathematics ◽

10.1016/j.aim.2006.06.009 ◽

2007 ◽

Vol 210 (2) ◽

pp. 405-478 ◽

Cited By ~ 11

Author(s):

T.A. Nevins ◽

J.T. Stafford

Keyword(s):

Hilbert Schemes ◽

Sklyanin Algebras

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Degenerate Sklyanin algebras

Open Physics ◽

10.2478/s11534-009-0142-5 ◽

2010 ◽

Vol 8 (4) ◽

Cited By ~ 5

Author(s):

Andrey Smirnov

Keyword(s):

Difference Operators ◽

Baxter Equation ◽

Quantum Algebras ◽

Rational Solutions ◽

R Matrix ◽

Gauge Transformations ◽

Sklyanin Algebras ◽

Sklyanin Algebra ◽

The Difference

AbstractNew trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2;?). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special limits of the Sklyanin algebra. A representation for these algebras by the difference operators is found. The sl(N;?)-case is discussed.

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