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Coideal Subalgebras and Quantum Symmetric Pairs

- G. Letzter
- Mathematics
- 30 March 2001

Coideal subalgebras of the quantized enveloping algebra are surveyed, with selected proofs included. The first half of the paper studies generators, Harish-Chandra modules, and associated quantum… Expand

130 6- PDF

Quantum Symmetric Pairs and Their Zonal Spherical Functions

- G. Letzter
- Mathematics
- 9 April 2002

We study the space of biinvariants and zonal spherical functions associated to quantum symmetric pairs in the maximally split case. Under the obvious restriction map, the space of biinvariants is… Expand

66 6- PDF

Separation of Variables for Quantized Enveloping Algebras

- A. Joseph, G. Letzter
- Mathematics
- 1 February 1994

78 5

Local finiteness of the adjoint action for quantized enveloping algebras

- A. Joseph, G. Letzter
- Mathematics
- 15 December 1992

93 5

Quantum zonal spherical functions and Macdonald polynomials

- G. Letzter
- Mathematics
- 29 October 2002

Abstract A unified theory of quantum symmetric pairs is applied to q -special functions. Previous work characterized certain left coideal subalgebras in the quantized enveloping algebra and… Expand

41 4- PDF

Symmetric Pairs for Quantized Enveloping Algebras

- G. Letzter
- Mathematics
- 15 October 1999

Abstract Let θ be an involution of a semisimple Lie algebra g , let g θ denote the fixed Lie subalgebra, and assume the Cartan subalgebra of g has been chosen in a suitable way. We construct a… Expand

97 4

Ring theory from symplectic geometry

- D. Farkas, G. Letzter
- Mathematics
- 1 March 1998

Abstract Basic results for an algebraic treatment of commutative and noncommutative Poisson algebras are described. Symplectic algebras are examined from a ring-theoretic point of view.

44 4

Non-isomorphic curves with isomorphic rings of differential operators

- G. Letzter
- Mathematics
- 1 February 1992

4 2

Invariant differential operators for quantum symmetric spaces, II

- G. Letzter
- Mathematics
- 9 June 2004

This is the first paper in a series of two which proves a version of a theorem of Harish-Chandra for quantum symmetric spaces in the maximally split case: There is a Harish-Chandra map which induces… Expand

11 2- PDF

TRANSLATION FUNCTORS AND DECOMPOSITION NUMBERS FOR THE PERIPLECTIC LIE SUPERALGEBRA p(n)

- Z. Daugherty, I. Entova-Aizenbud, +5 authors C. Stroppel
- 2017

We study the category Fn of finite-dimensional integrable representations of the periplectic Lie superalgebra p(n). We define an action of the Temperley–Lieb algebra with infinitely many generators… Expand

10 1- PDF

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