Results 81 to 90 of about 94,022 (252)
Galois algebras and their homomorphisms.
Der Inhalt der vorliegenden Note besteht in der systematischen Darstellung einiger funktorieller Eigenschaften von Galois-Algebren. Letztere wurden von \textit{D. K. Faddeev} (mit \textit{B. N. Delone} [Mat. Sb., N. Ser. 15(57), 243--284 (1944; Zbl 0060.11401)]) und \textit{H. Hasse} [Math. Nachr.
openaire +1 more source
Centrality of star and monotone factorisations
Abstract A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answers a natural question of Goulden and Jackson from 2009.
Jesse Campion Loth, Amarpreet Rattan
wiley +1 more source
Closure Fuzzy Filters of Decomposable MS-Algebras
In this paper, we give some results of closure fuzzy filters of decomposable MS-algebras, characterization of closure fuzzy filters, and homomorphism of closure fuzzy filters.
Gubena Yeshiwas Mebrat +2 more
doaj +1 more source
Yangian realisations from finite W algebras
We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras.Comment ...
Ragoucy, E., Sorba, P.
core +2 more sources
Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi +3 more
wiley +1 more source
M-Hazy Module and Its Homomorphism Theorem
Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a ...
Donghua Huo, Hongyu Liu
doaj +1 more source
Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley +1 more source
Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras
Let $\mathfrak{g}$ be a semi-simple Lie algebra with fixed root system, and $U_q(\mathfrak{g})$ the quantization of its universal enveloping algebra. Let $\mathcal{S}$ be a subset of the simple roots of $\mathfrak{g}$. We show that the defining relations
De Commer, Kenny, Neshveyev, Sergey
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Chebotarev's theorem for cyclic groups of order pq$pq$ and an uncertainty principle
Abstract Let p$p$ be a prime number and ζp$\zeta _p$ a primitive p$p$th root of unity. Chebotarev's theorem states that every square submatrix of the p×p$p \times p$ matrix (ζpij)i,j=0p−1$(\zeta _p^{ij})_{i,j=0}^{p-1}$ is nonsingular. In this paper, we prove the same for principal submatrices of (ζnij)i,j=0n−1$(\zeta _n^{ij})_{i,j=0}^{n-1}$, when n=pr ...
Maria Loukaki
wiley +1 more source
A note on the cohomology of moduli spaces of local shtukas
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source

