• Publications
• Influence
AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• Physics
• 1 April 1992
We prove Drinfeld's conjecture that the center of a certain completion of the universal enveloping algebra of an affine Kac-Moody algebra at the critical level is isomorphic to the Gelfand-DikiiExpand
• 264
• 24
• Mathematics
• 1987
• 122
• 18
A commutative algebra on degenerate CP1 and Macdonald polynomials
• Mathematics
• 15 April 2009
We introduce a unital associative algebra A associated with degenerate CP1. We show that A is a commutative algebra and whose Poincare series is given by the number of partitions. Thereby, we canExpand
• 130
• 14
• PDF
QuantumOpen image in new window-algebras and elliptic algebras
• Physics
• 1 July 1996
We define a quantum Open image in new window -algebra associated to$$\mathfrak{s}\mathfrak{l}_N$$ as an associative algebra depending on two parameters. For special values of the parameters, thisExpand
• 58
• 12
Quantization of the Drinfeld-Sokolov reduction
• Physics
• 23 August 1990
Abstract We show that the quantum Drinfeld-Sokolov reduction of the affine Kac-Moody algebra sl( n ) Λ gives the W n -algebra of Fateev-Zamolodchikov-Lukyanov. We derive this W n -algebra explicitlyExpand
• 234
• 11
Gaudin model, Bethe Ansatz and critical level
• Physics, Mathematics
• 3 February 1994
We propose a new method of diagonalization oif hamiltonians of the Gaudin model associated to an arbitrary simple Lie algebra, which is based on the Wakimoto modules over affine algebras at theExpand
• 232
• 10
• PDF
Super Liouville conformal blocks from $\mathcal{N} = 2$ SU(2) quiver gauge theories
• Physics
• 29 May 2011
The conjecture about the correspondence between instanton partition functions in the N = 2 SUSY Yang-Mills theory and conformal blocks of two-dimensional conformal field theories is extended to theExpand
• 77
• 9
• PDF
Quantum-algebras and elliptic algebras
• Mathematics, Physics
• 17 August 1995
AbstractWe define a quantum-algebra associated to $$\mathfrak{s}\mathfrak{l}_N$$ as an associative algebra depending on two parameters. For special values of the parameters, this algebra becomesExpand
• 99
• 9
• PDF
Hochschild cohomology of the Weyl algebra and traces in deformation quantization
• Mathematics
• 18 November 2003
We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual.It is given by an integral over the configuration space of ordered points on aExpand
• 49
• 9
• PDF
A differential ideal of symmetric polynomials spanned by Jack polynomials at rβ = -(r=1)/(k+1)
• Mathematics
• 12 December 2001
For each pair of positive integers (k,r) such that k+1,r-1 are coprime, we introduce an ideal $I^{(k,r)}_n$ of the ring of symmetric polynomials. The ideal $I^{(k,r)}_n$ has a basis consisting ofExpand
• 61
• 8
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