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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 1, Pages 148–152
(Mi tmf1636)
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Notes on the differential calculi on quantum linear groups
P. N. Pyatova, P. A. Saponovb a Joint Institute for Nuclear Research
b Institute for High Energy Physics
Abstract:
This talk is devoted to the problem of construction of the differential calculi on quantum linear groups. Basing on the natural algebraic postulates we examine the possible commutation relations for the $GL_q(N)$- and $SL_q(N)$-invariant differential forms and vector fields. It turns out that there exist several families of the admissible commutation rules for $GL_q(N)$, but, in contrast, the commutation prescription for $SL_q(N)$ is unique.
Citation:
P. N. Pyatov, P. A. Saponov, “Notes on the differential calculi on quantum linear groups”, TMF, 100:1 (1994), 148–152; Theoret. and Math. Phys., 100:1 (1994), 912–915
Linking options:
https://www.mathnet.ru/eng/tmf1636 https://www.mathnet.ru/eng/tmf/v100/i1/p148
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Statistics & downloads: |
Abstract page: | 325 | Full-text PDF : | 179 | References: | 42 | First page: | 1 |
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