Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Sel math New ser

Search In Journal Title:

Abbravation: Selecta Mathematica

Search In Journal Abbravation:

Publisher

Birkhäuser-Verlag

Search In Publisher:

DOI

10.1016/0017-9310(79)90100-5

Search In DOI:

ISSN

1420-9020

Search In ISSN:
Search In Title Of Papers:

Trigonometric Cherednik algebra at critical level

Authors: E Emsiz E M Opdam J V Stokman
Publish Date: 2009/03/14
Volume: 14, Issue: 3-4, Pages: 571-605
PDF Link

Abstract

For any module over the affine Weyl group we construct a representation of the associated trigonometric Cherednik algebra Ak at critical level in terms of Dunkl type operators Under this representation the center of Ak produces quantum conserved integrals for root system generalizations of quantum spinparticle systems on the circle with delta function interactions This enables us to translate the spectral problem of such a quantum spinparticle system to questions in the representation theory of Ak We use this approach to derive the associated Bethe ansatz equations They are expressed in terms of the normalized intertwiners of Ak

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Geometric Satake, Springer correspondence and small representations
  2. Weights of mixed tilting sheaves and geometric Ringel duality
  3. Epipelagic representations and rigid local systems
  4. Algebras of twisted chiral differential operators and affine localization of $${\mathfrak {g}}$$ -modules
  5. Spherical Lagrangians via ball packings and symplectic cutting
  6. A combinatorial formula for affine Hall–Littlewood functions via a weighted Brion theorem
  7. The non-equivariant coherent-constructible correspondence and a conjecture of King
  8. The minimal model for the Batalin–Vilkovisky operad
Search Result: