A Common Structure in PBW Bases of the Nilpotent Subalgebra of U_q(g)
For a finite-dimensional simple Lie algebra $mathfrak{g}$, let $U^+_q(mathfrak{g})$ be the positive part of the quantized universal enveloping algebra, and $A_q(mathfrak{g})$ be the quantized algebra of functions. We show that the transition matrix of the PBW bases of $U^+_q(mathfrak{g})$ coincides...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
National Academy of Science of Ukraine
2013-07-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.049 |