Non-commutative extensions of the MacMahon Master Theorem |
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| Authors: | Matja? Konvalinka |
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| Affiliation: | MIT, Department of Mathematics, Cambridge, USA |
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| Abstract: | We present several non-commutative extensions of the MacMahon Master Theorem, further extending the results of Cartier-Foata and Garoufalidis-Lê-Zeilberger. The proofs are combinatorial and new even in the classical cases. We also give applications to the β-extension and Krattenthaler-Schlosser's q-analogue. |
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| Keywords: | MacMahon Master theorem Determinant identity q-series Quantum algebra Bijection |
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