Zobrazeno 1 - 10
of 434
pro vyhledávání: '"Frobenius theorem (real division algebras)"'
Autor:
Ian Nicholas Stewart
Publikováno v:
Galois Theory ISBN: 9780429172250
Galois Theory ISBN: 9789401068642
Galois Theory ISBN: 9789401068642
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ccce82be249292ba2ca8980d08bab587
https://doi.org/10.1201/9781003213949-2
https://doi.org/10.1201/9781003213949-2
Autor:
Matej Brešar, V. S. Shulman
Publikováno v:
Linear and Multilinear Algebra. 70:1369-1381
Frobenius' Theorem states that, besides the fields of real and complex numbers, the algebra of quaternions H is the only finite-dimensional real division algebra. We first give a short elementary p...
Autor:
Domingos Pisanelli
Publikováno v:
Functional Analysis, Holomorphy, and Approximation Theory ISBN: 9781003072577
Functional Analysis, Holomorphy, and Approximation Theory
Functional Analysis, Holomorphy, and Approximation Theory
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d368adf1b4a7f1c61c3a358e28f9f7d2
https://doi.org/10.1201/9781003072577-16
https://doi.org/10.1201/9781003072577-16
Autor:
M. I. Fraiman
We prove that the restricted wreath product ${\mathbb{Z}_n \mathbin{\mathrm{wr}} \mathbb{Z}^k}$ has the $R_\infty$-property, i. e. every its automorphism $\varphi$ has infinite Reidemeister number $R(\varphi)$, in exactly two cases: (1) for any $k$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af87bedbad6a90a0f5dee585bba2c360
http://arxiv.org/abs/2005.04489
http://arxiv.org/abs/2005.04489
Autor:
S. H. Kulkarni, S.J. Bhatt
Publikováno v:
Expositiones Mathematicae. 36:166-177
The Gelfand–Mazur Theorem, a very basic theorem in the theory of Banach algebras states that: (Real version) Every real normed division algebra is isomorphic to the algebra of all real numbers R , the complex numbers C or the quaternions H ; (Compl
Autor:
Xianghong Gong
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:101-159
The Newlander–Nirenberg theorem says that a formally integrable complex structure is locally equivalent to the complex structure in the complex Euclidean space. We will show two results about the Newlander–Nirenberg theorem with parameter. The fi
Autor:
Mitsuyasu Hashimoto, Peter Symonds
Publikováno v:
Hashimoto, M & Symonds, P 2016, ' The Asymptotic Behavior of Frobenius Direct Images of Rings of Invariants ', Advances in Mathematics, vol. 305, no. 0, pp. 144-164 . https://doi.org/10.1016/j.aim.2016.09.020
We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group. When a finite group acts on a polynomial ring, we calculate this limit for all th
Autor:
Takehiko Morita, Takuya Ikeda
Publikováno v:
Kyushu Journal of Mathematics. 71:31-64
Autor:
Michael Gil
Publikováno v:
Linear and Multilinear Algebra. 65:2333-2339
For an arbitrary matrix A and the the Frobenius norm , it is proved thatIn addition, we derive inequalities for which are attained for normal matrices.
Publikováno v:
Journal of Algebra. 465:62-80
We investigate Frobenius algebras and symmetric algebras in the monoidal category of right comodules over a Hopf algebra H; for the symmetric property H is assumed to be cosovereign. If H is finite dimensional and A is an H-comodule algebra, we uncov