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On the origin of the UV-IR mixing in non-commutative matrix geometry

✍ Scribed by Sachindeo Vaidya; Badis Ydri


Book ID
116795353
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
385 KB
Volume
671
Category
Article
ISSN
0550-3213

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We give a combinatorial proof of Jacobi's equality relating a cofactor of a matrix with the complementary cofactor of its inverse. This result unifies two previous approaches of the combinatorial interpretation of determinants: generating functions of weighted permutations and generating functions o