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math.QAFeb 1, 2003
30
citations (OpenAlex)
authors
  • V. Tarasov
  • A. Varchenko
institutions
  • Steklov Mathematical Institute
  • St. Petersburg Department of Steklov Institute of Mathematics
  • University of North Carolina at Chapel Hill
arXiv abstractPDF
paper

Selberg Type Integrals Associated with sl3​

arXiv:math/0302148 · doi:10.1023/B:MATH.0000010712.67685.9d

Abstract

We present several formulae for the Selberg type integrals associated with the Lie algebra sl3​.

Errata added; 13 pages, amstex.tex 2.2 and amssym.tex required

References in corpus (1)

  • Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras

Cited by in corpus (13)

  • Integrable structure, W-symmetry and AGT relation
  • Combinatorial Formulae for Nested Bethe Vectors
  • A Selberg integral for the Lie algebra A_n
  • The sl_3 Selberg integral
  • Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral
  • The Fp​-Selberg integral of type An​
  • AFLT-type Selberg integrals
  • Bisymmetric functions, Macdonald polynomials and sl_3 basic hypergeometric series
  • On a Selberg-Schur integral
  • Some recursive formulas for Selberg-type integrals
  • Singular vectors for the WN​ algebras
  • The singularities of Selberg- and Dotsenko-Fateev-like integrals
  • Double Gegenbauer expansion of ∣s−t∣α
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