Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Quantum symmetric Kac–Moody pairs

- S. Kolb
- Mathematics
- 25 July 2012

The present paper develops a general theory of quantum group analogs of symmetric pairs for involutive automorphism of the second kind of symmetrizable Kac–Moody algebras. The resulting quantum… Expand

128 12- PDF

De Rham complex for quantized irreducible flag manifolds

- I. Heckenberger, S. Kolb
- Mathematics
- 31 July 2003

It is shown that quantized irreducible flag manifolds possess a canonical q-analogue of the de Rham complex. Generalizing the well-known situation for the standard Podleś' quantum sphere this… Expand

46 6- PDF

The Locally Finite Part of the Dual Coalgebra of Quantized Irreducible Flag Manifolds

- I. Heckenberger, S. Kolb
- Mathematics
- 22 January 2003

For quantized irreducible flag manifolds the locally finite part of the dual coalgebra is shown to coincide with a natural quotient coalgebra $\overline{U}$ of $U_q ( \mathfrak{g} )$. On the way the… Expand

58 4- PDF

Braid group action and root vectors for the $q$-Onsager algebra

- P. Baseilhac, S. Kolb
- Mathematics, Physics
- 27 June 2017

We define two algebra automorphisms $T_0$ and $T_1$ of the $q$-Onsager algebra $B_c$, which provide an analog of G. Lusztig's braid group action for quantum groups. These automorphisms are used to… Expand

17 4- PDF

Braided module categories via quantum symmetric pairs

- S. Kolb
- Mathematics, Physics
- 11 May 2017

Let ${\mathfrak g}$ be a finite dimensional complex semisimple Lie algebra. The finite dimensional representations of the quantized enveloping algebra $U_q({\mathfrak g})$ form a braided monoidal… Expand

23 3- PDF

Universal K-matrix for quantum symmetric pairs

- Martina Balagovic, S. Kolb
- Mathematics, Physics
- 22 July 2015

Let $\mathfrak{g}$ be a symmetrizable Kac-Moody algebra and let $U_q(\mathfrak{g})$ denote the corresponding quantized enveloping algebra. In the present paper we show that quantum symmetric pair… Expand

45 3- PDF

On the Bernstein-Gelfand-Gelfand Resolution for Kac-Moody Algebras and Quantized Enveloping Algebras

- I. Heckenberger, S. Kolb
- Mathematics
- 17 May 2006

A Bernstein-Gelfand-Gelfand resolution for arbitrary Kac-Moody algebras and arbitrary subsets of the set of simple roots is proven. Moreover, quantum group analogs of the Bernstein-Gelfand-Gelfand… Expand

33 3- PDF

Right coideal subalgebras of the Borel part of a quantized enveloping algebra

- I. Heckenberger, S. Kolb
- Mathematics, Medicine
- 19 October 2009

For the Borel part of a quantized enveloping algebra, we classify all right coideal subalgebras for which the intersection with the coradical is a Hopf algebra. The result is expressed in terms of… Expand

24 1- PDF

Radial Part Calculations for ŝl2 and the Heun-KZB Heat Equation

- S. Kolb
- 2015

In the present paper, we determine the radial part of the Casimir element for the affine Lie algebra ŝl2 with respect to the Chevalley involution. The resulting operator is identified with a blend of… Expand

4 1- PDF

Braid group actions on coideal subalgebras of quantized enveloping algebras

- S. Kolb, Jacopo Pellegrini
- Mathematics
- 21 February 2011

Abstract We construct braid group actions on coideal subalgebras of quantized enveloping algebras which appear in the theory of quantum symmetric pairs. In particular, we construct an action of the… Expand

25 1- PDF

...

1

2

3

4

...