Reference : Trace decategorification of categorified quantum sl2
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/30945
Trace decategorification of categorified quantum sl2
English
Beliakova, Anna mailto [Universität Zürich - UZH > Institute of Mathematics]
Habiro, Kazuo mailto [Kyoto University > Research Institute for Mathematical Sciences]
Lauda, Aaron D. mailto [University of Southern California > Department of Mathematics]
Zivkovic, Marko mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Feb-2017
Mathematische Annalen
Springer
367
1
397–440
Yes (verified by ORBilu)
International
0025-5831
1432-1807
Heidelberg
Germany
[en] categorification ; trace decategorification
[en] The trace or the 0th Hochschild–Mitchell homology of a linear category C may be regarded as a kind of decategorification of C. We compute the traces of the two versions U˙ and U∗ of categorified quantum sl2 introduced by the third author. The trace of U is isomorphic to the split Grothendieck group K_0(U˙), and the higher Hochschild–Mitchell homology of U˙ is zero. The trace of U∗ is isomorphic to the idempotented integral form of the current algebra U(sl2[t]).
http://hdl.handle.net/10993/30945

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