𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Standard Basis Theorem for Quantum Linear Groups

✍ Scribed by R.Q. Huang; J.J. Zhang


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
896 KB
Volume
102
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Global IC bases for quantum linear group
✍ Jie Du πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 794 KB

The author studied recently certain canonical bases for irreducible representations of quantum linear groups [5, 81. The basic ingredients in the present work are the Kazhdan-Lusztig bases and cells for Hecke and q-Schur algebras [14, 41. It has been proved that these canonical bases agree with Lusz

β€œClassical” Flag Varieties for Quantum G
✍ Christian Ohn πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 357 KB

We suggest a possible programme to associate geometric ''flag-like'' data to an arbitrary simple quantum group, in the spirit of the noncommutative algebraic geometry developed by Artin, Tate, and Van den Bergh. We then carry out this programme for the standard quantum SLðnÞ of Drinfel'd and Jimbo,

On the Quantum Frobenius Map for General
✍ Edward S. Letzter πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 201 KB

For the quantum function algebras O O M and O O GL , at lth roots of unity q n q n when l is odd, the image under the q-analog of the Frobenius morphism charac-Ε½ . terizes each prime and primitive ideal uniquely up to automorphisms obtained from row and column multiplication of the standard generat