AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
1993 ◽
Vol 08
(10)
◽
pp. 1667-1706
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Keyword(s):
We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case (q→1 limit). The Lie derivative and the contraction operator on forms and tensor fields are found. A new, explicit form of the Cartan-Maurer equations is presented. The example of a bicovariant differential calculus on the quantum group GL q(2) is given in detail. The softening of a quantum group is considered, and we introduce q curvatures satisfying q Bianchi identities, a basic ingredient for the construction of q gravity and q gauge theories.
1994 ◽
Vol 09
(30)
◽
pp. 2835-2847
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Keyword(s):
2020 ◽
Vol 476
(2244)
◽
pp. 20200642
◽
1996 ◽
Vol 11
(06)
◽
pp. 1077-1100
◽
2001 ◽
Vol 16
(04n06)
◽
pp. 361-365
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Keyword(s):
2013 ◽
Vol 65
(5)
◽
pp. 1073-1094
◽
2014 ◽
Vol 57
(4)
◽
pp. 708-720
◽
Keyword(s):