๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Degrees of Quantum Function Algebras at Roots of 1

โœ Scribed by Giovanni Gaiffi


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
215 KB
Volume
180
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis


In this paper we will deal with quantum function algebras F G in the special q case when the parameter q specializes to a root of 1. Using a combinatorial technique, we will give general formulas for the degree of such algebras and of a particular family of quotients which are fundamental objects in representation theory.


๐Ÿ“œ SIMILAR VOLUMES


Quantised Function Algebras at Roots of
โœ Iain Gordon ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 130 KB

Let G be a semisimple algebraic group and a primitive th root of unity. In this paper we realise certain restricted quantised enveloping algebras of Borel subalgebras of semisimple Lie algebras and the analogue of these restricted enveloping algebras for O G as path algebras of certain quivers. This

Green Polynomials and Hall-Littlewood Fu
โœ Alain Lascoux; Bernard Leclerc; Jean-Yves Thibon ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

We give some applications of our recent work [10] about Hall-Littlewood functions at roots of unity. In particular, we prove the two conjectures of N. Sultana [17] on specializations of Green polynomials, and we generalize classical results concerning characters of the symmetric group induced by max

Functional Calculus for Banach Function
โœ Eggert Briem ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 320 KB

We show among other things that if B is a Banach function space of continuous real-valued functions vanishing at infinity on a locally compact Hausdorff space X, with the property that for some odd natural number p>1, b 1ร‚ p # B for all b # B, then B=C 0 (X ).

Expression of functional mammalian P450
โœ Suchitra Banerjee; Tanya Q. Shang; Angela M. Wilson; Allison L. Moore; Stuart E. ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 166 KB

## Abstract P450 2E1 is an important mammalian liver enzyme known to metabolize a wide range of compounds including several common environmental pollutants. The medicinal plant, __Atropa belladonna__, was transformed with __Agrobacterium rhizogenes__ containing a binary vector with rabbit P450 2E1