Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization

Details Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization

2012-01-05

arxiv.org/abs/1201.1206v2

J. Math. Phys., vol. 52, 123512 (2011)

Physics

Mathematical Physics

16 pages, LaTeX, no figure. V2: A reference corrected

Scientific paper

10.1063/1.3671330

The coherent state method has proved to be useful in quantum physics and mathematics. This method, more precisely, the vector coherent state method, has been used by some authors to construct representations of superalgebras but almost, to our knowledge, it has not yet been extended to quantum superalgebras, except $U_q[osp(1|2)]$, one of the smallest quantum superalgebras. In this article the method is applied to a bigger quantum superalgebra, namely $U_q[gl(2|1)]$, in constructing $q$--boson-fermion realizations and finite-dimensional representations which, when irreducible, are classified into typical and nontypical representations. This construction leads to a more general class of $q$--boson-fermion realizations and finite-dimensional representations of $U_q[gl(2|1)]$ and, thus, at $q=1$, of $gl(2|1)$. Both $gl(2|1)$ and $U_q[gl(2|1)]$ have found different physics applications, therefore, it is meaningful to construct their representations.

Affiliated with

Also associated with

No associations

Rating

Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610186