Cohomology rings for quantized enveloping algebras

Details Cohomology rings for quantized enveloping algebras Cohomology rings for quantized enveloping algebras

2010-10-22

arxiv.org/abs/1010.4696v2

Mathematics

Quantum Algebra

14 pages. Reorganized and rewrote Section 3. Additional minor modifications made to Sections 2, 4, 5

Scientific paper

We compute the structure of the cohomology ring for the quantized enveloping algebra (quantum group) $U_q$ associated to a finite-dimensional simple complex Lie algebra $\mathfrak{g}$. We show that the cohomology ring is generated as an exterior algebra by homogeneous elements in the same odd degrees as generate the cohomology ring for the Lie algebra $\mathfrak{g}$. Partial results are also obtained for the cohomology rings of the non-restricted quantum groups obtained from $U_q$ by specializing the parameter $q$ to a non-zero value $\epsilon \in \mathbb{C}$.

Affiliated with

Also associated with

No associations

Rating

Cohomology rings for quantized enveloping algebras 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 Cohomology rings for quantized enveloping algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology rings for quantized enveloping algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659937