Yetter-Drinfeld structures on Heisenberg doubles and chains - Mathematics > Quantum AlgebraReport as inadecuate




Yetter-Drinfeld structures on Heisenberg doubles and chains - Mathematics > Quantum Algebra - Download this document for free, or read online. Document in PDF available to download.

Abstract: For a Hopf algebra B with bijective antipode, we show that the Heisenbergdouble HB^* is a braided commutative Yetter-Drinfeld module algebra over theDrinfeld double DB. The braiding structure allows generalizing HB^* =B^{*cop}\braid B to -Heisenberg n-tuples- and -chains-

.\braid B^{*cop}\braidB \braid B^{*cop}\braid B\braid

., all of which are Yetter-DrinfeldDB-module algebras. For B a particular Taft Hopf algebra at a 2p-th root ofunity, the construction is adapted to yield Yetter-Drinfeld module algebrasover the 2p^3-dimensional quantum group U qsl2.



Author: A.M. Semikhatov

Source: https://arxiv.org/







Related documents