Results 71 to 80 of about 408 (185)

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

On generalized quaternion algebras

International Journal of Mathematics and Mathematical Sciences, 1980
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
doaj   +1 more source

On Galois projective group rings

International Journal of Mathematics and Mathematical Sciences, 1991
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in ​A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj   +1 more source

Hochschild–Mitchell cohomology and Galois extensions

Journal of Pure and Applied Algebra, 2007
21 ...
Herscovich, E., Solotar, A.
openaire   +6 more sources

Torus partition function of the six-vertex model from algebraic geometry

Journal of High Energy Physics, 2019
We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the algebro-geometric approach to the resolution of Bethe ansatz equations initiated in a previous work,
Jesper Lykke Jacobsen, Yunfeng Jiang, Yang Zhang   +2 more
doaj   +1 more source

Divisor classes in pseudo Galois extensions [PDF]

Pacific Journal of Mathematics, 1971
Let \(R\) be a Krull domain, and let \(S\) be the integral closure of \(R\) in a finite extension of its fraction field. Assume that there is a finite cocommutative Hopf algebra \(H\) acting on \(S\) over \(R\) (in geometric terms, a finite \(R\)-group scheme acting on \(\text{Spec}\,S\)).
openaire   +2 more sources

On free ring extensions of degree n

International Journal of Mathematics and Mathematical Sciences, 1981
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of  B), and {1,x…,xn−1} is a basis.
George Szeto
doaj   +1 more source

Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$

Communications in Advanced Mathematical Sciences, 2018
Let $K$ be a real abelian extension of $\mathbb{Q}$. Let $p$ be a prime number, $S$ the set of $p$-places of $K$ and ${\mathcal G}_{K,S}$ the Galois group of the maximal $S \cup \{\infty\}$-ramified pro-$p$-extension of $K$ (i.e., unramified outside $p ...
Georges Gras
doaj   +1 more source

Characterization of Finite Galois Extensions

Formalized Mathematics
Summary In this article we prove the well-known characterization of finite Galois extensions: a finite extension E of F is a Galois extension of F i E is ...
openaire   +1 more source

Multiplicative Groups of Galois Extensions

Journal of Algebra, 1994
The author obtains the following interesting results: Theorem. Let \(K\) be a Galois extension of \(k\) with Galois group \(G\) and suppose that \(G\) contains two dihedral subgroups \(D_ p\) and \(D_ q\) for distinct odd primes \(p\), \(q\). Then if \(F_ 1,\dots, F_ N\) are the maximal proper subfields of \(K/k\) then \(K^ \times= F_ 1^ \times \dots ...
openaire   +1 more source