Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$
Abstract
We consider principal subspace W({\Lambda}) of integrable highest weight module L({\Lambda}) for quantum affine algebra $U_q(\hat{\mathfrak{sl}}_{n+1})$. We introduce quantum analogues of the quasiparticles associated with the principal subspaces for $\hat{\mathfrak{sl}}_{n+1}$ and discover certain relations among them. By using these relations we find, for certain highest weight {\Lambda}, combinatorial bases of principal subspace W({\Lambda}) in terms of monomials of quantum quasiparticles.
 Publication:

arXiv eprints
 Pub Date:
 June 2013
 arXiv:
 arXiv:1306.3712
 Bibcode:
 2013arXiv1306.3712K
 Keywords:

 Mathematics  Quantum Algebra;
 17B37 (Primary);
 17B69 (Secondary)
 EPrint:
 31 pages