Yangian of the Queer Lie Superalgebra

Details Yangian of the Queer Lie Superalgebra Yangian of the Queer Lie Superalgebra

1999-02-25

arxiv.org/abs/math/9902146v2

Comm. Math.Phys. 208 (1999), 195-223

Mathematics

Quantum Algebra

AmS-TeX, 28 pages, Section 2 streamlined

Scientific paper

10.1007/s002200050754

Take the matrix Lie superalgebra $gl_{N|N}$ with the standard generators $E_{ij}$ where $i,j=-N,...,-1,1,...,N$. Define an involutive automorphism of $gl_{N|N}$ by sending $E_{ij}$ to $E_{-i,-j}$. Then the corresponding twisted subalgebra $g$ in the polynomial current Lie superalgebra $gl_{N|N}[u]$, has a natural Lie co-superalgebra structure. Here we quantise the universal enveloping algebra $U(g)$ as a co-Poisson Hopf superalgebra. For the quantised algebra we give a description of the centre, and construct the double in the sense of Drinfeld. We also construct a class of irreducible representations of the quantised algebra, by introducing an appropriate analogue of the degenerate affine Hecke algebra.

Affiliated with

Also associated with

No associations

Rating

Yangian of the Queer Lie Superalgebra 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 Yangian of the Queer Lie Superalgebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yangian of the Queer Lie Superalgebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321874