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- W1994967166 abstract "We study the integrals of type $I(a)=int_{O_n}prod u_{ij}^{a_{ij}},du$, depending on a matrix $ain M_{ptimes q}(mathbb N)$, whose exact computation is an open problem. Our results are as follows: (1) an extension of the elementary expansion formula from the case $ain M_{2times q}(2mathbb N)$ to the general case $ain M_{ptimes q}(mathbb N)$, (2) the construction of the best algebraic normalization of $I(a)$, in the case $ain M_{2times q}(mathbb N)$, (3) an explicit formula for $I(a)$, for diagonal matrices $ain M_{3times 3}(mathbb N)$, (4) a modelling result in the case $ain M_{1times 2}(mathbb N)$, in relation with the Euler-Rodrigues formula. Most proofs use various combinatorial techniques." @default.
- W1994967166 created "2016-06-24" @default.
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- W1994967166 date "2011-02-24" @default.
- W1994967166 modified "2023-09-25" @default.
- W1994967166 title "Combinatorial aspects of orthogonal group integrals" @default.
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