共查询到20条相似文献,搜索用时 15 毫秒
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A. Druzhinin 《Journal of Pure and Applied Algebra》2022,226(3):106834
The theory of framed motives by Garkusha and Panin gives computations in the stable motivic homotopy category in terms of Voevodsky's framed correspondences. In particular, the motivically fibrant Ω-resolution in positive degrees of the motivic suspension spectrum , where , for a smooth scheme over an infinite perfect field k, is computed.The computation by Garkusha, Neshitov and Panin of the framed motives of relative motivic spheres , , is one of ingredients in the theory. In the article we extend this result to the case of a pair given by a smooth affine variety X over k and an open subscheme .The result gives an explicit motivically fibrant Ω-resolution in positive degrees for the motivic suspension spectrum of the quotient-sheaf . 相似文献
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《Journal of Functional Analysis》2023,284(5):109797
We introduce a two-parameter function on the infinite hyperoctahedral group, which is a bivariate refinement of the reflection length. We show that this signed reflection function is positive definite if and only if it is an extreme character of the infinite hyperoctahedral group and we classify the corresponding set of parameters . We construct the corresponding representations through a natural action of the hyperoctahedral group on the tensor product of n copies of a vector space, which gives a two-parameter analog of the classical construction of Schur–Weyl.We apply our classification to construct a cyclic Fock space of type B generalizing the one-parameter construction in type A found previously by Bo?ejko and Guta. We also construct a new Gaussian operator acting on the cyclic Fock space of type B and we relate its moments with the Askey–Wimp–Kerov distribution by using the notion of cycles on pair-partitions, which we introduce here. Finally, we explain how to solve the analogous problem for the Coxeter groups of type D by using our main result. 相似文献
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Let M be a random rank-r matrix over the binary field , and let be its Hamming weight, that is, the number of nonzero entries of M.We prove that, as with r fixed and tending to a constant, we have that converges in distribution to a standard normal random variable. 相似文献
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