Tight Monomials in Quantum Group for Type A5 with t ≤ 6


All tight monomials in quantum group for type A5 with t ≤ 6 are determined in this paper.

Share and Cite:

Hu, Y. , Li, G. and Wang, J. (2015) Tight Monomials in Quantum Group for Type A5 with t ≤ 6. Advances in Linear Algebra & Matrix Theory, 5, 63-75. doi: 10.4236/alamt.2015.53007.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Drinfel’d, V.G. (1985) Hopf Algebras and the Quantum Yang-Baxter Equation. Soviet Mathematics Doklady, 32, 254-258.
[2] Jimbo, M. (1985) A q-Difference Analogue of and the Yang-Baxter Equation. Letters in Mathematical Physics, 10, 63-69.
[3] Lusztig, G. (1990) Canonical Bases Arising from Quantized Enveloping Algebras. Journal of the American Mathematical Society, 3, 447-498.
[4] Lusztig, G. (1993) Tight Monomials in Quantized Envelwoping Algebras. In: Joseph, A. and Schnider, S., Eds., Quantum Deformation of Algebra and Their Representations, Israel Mathematical Conference Proceedings, Vol. 7, Bar-Ilan University, 117-132.
[5] Xi, N.H.(1999) Canonical Basis for Type A3. Communications in Algebra, 27, 5703-5710.
[6] Hu, Y.W., Ye, J.C. and Yue, X.Q. (2003) Canonical Basis of Type A4 (I)-Monomial Elements. Journal of Algebra, 263, 228-245.
[7] Hu, Y.W. and Ye, J.C. (2005) Canonical Bases of Type A4 (II)-Polynomial Elements in One Variable. Communications in Algebra, 33, 3855-3877.
[8] Li, X.C. and Hu, Y.W. (2012) Ploynomical Elements in Canonical Basis of Type B with Two-Dimensional Support for A4 (I). Algebra Colloquium, 19, 117-136.
[9] Marsh, R. (1998) More Tight Monomials in Quantized Enveloping Algebras. Journal of Algebra, 204, 711-732.
[10] Reineke, M. (2001) Monomials in Canonical Bases of Quantum Groups and Quadratic Forms. Journal of Pure and Applied Algebra, 157, 301-309.
[11] Wang, X.M. (2010) Tight Monomials for Type G2 and A3. Communications in Algebra, 38, 3597-3615.
[12] Deng, B.M. and Du, J. (2010) Tight Monomials and Monomial Basis Property. Journal of Algebra, 324, 3355-3377.

Copyright © 2022 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.