Canonical bases for the miniscule modules of the quantized enveloping algebras of types B and D

Communications in Algebra

Volumn 25, Issue 5, 1997, Pages 1387-1411

  Marsh, Robert ^a,b  

^a BIELEFELD UNIVERSITY   (Germany)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744439759     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879708825926     Document Type: Article

References (9)

1. N. Bourbaki. Groupes et algèbres de Lie, Chapitres 7 et 8. Hermann, Paris, 1975.
2. C. W. Curtis and I. Reiner. Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II. Wiley, New York, 1987.
3. V. G. Drinfeld. Hopf algebras and the Yang-Baxter equation. Soviet Math. Dokl., 32, 1985, 254-258.
4. J. E. Humphreys. Reflection Groups and Coxeter Groups. C.U.P., 1992.
5. M. Jimbo. A q-difference analogue of U(g) and the Yang-Baxter equation. Lett. Math. Phys., 10, 1985, 63-69.
6. M. Kashiwara. On crystal bases of the q-analogue of universal enveloping algebras. Duke Math. J., 63(2), 1991, 465-516.
7. G. Lusztig. Introduction to Quantum Groups. Birkhäuser, Boston, 1993.
8. R. J. Marsh. Canonical bases for fundamental modules of quantized enveloping algebras of type A. Communications in Algebra, 25 (5), 1997, 1365-1386.
9. H. Samelson. Notes on Lie Algebras. Springer-Verlag, New York, 1990.