Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Uriya A. First"'
Autor:
Uriya A. First
Publikováno v:
manuscripta mathematica. 170:313-407
Given an Azumaya algebra with involution $(A,\sigma)$ over a commutative ring $R$ and some auxiliary data, we construct an $8$-periodic chain complex involving the Witt groups of $(A,\sigma)$ and other algebras with involution, and prove it is exact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e6a7b376ec086858f5755d8983e2c62
https://doi.org/10.1007/s00229-021-01352-0
https://doi.org/10.1007/s00229-021-01352-0
Autor:
Uriya A. First, Ben Williams
We consider the general circumstance of an Azumaya algebra $A$ of degree $n$ over a locally ringed topos $(\mathbf{X}, {\mathcal{O}}_{\mathbf{ X}})$ where the latter carries a (possibly trivial) involution, denoted $\lambda$. This generalizes the usu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23b2e2e9bda3bffd85fa2c2dfd5db4ca
Autor:
Uriya A. First
Let $q$ be a unimodular quadratic form over a field $K$. Pfister's famous local--global principle asserts that $q$ represents a torsion class in the Witt group of $K$ if and only if it has signature $0$, and that in this case, the order of Witt class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e99ba2296cd4150ed1a5833a8d882a7
http://arxiv.org/abs/1909.07135
http://arxiv.org/abs/1909.07135
Autor:
Uriya A. First
Publikováno v:
Journal of Pure and Applied Algebra. 225:106477
Let $(A,\sigma)$ be a central simple algebra with an orthogonal involution. It is well-known that $O(A,\sigma)$ contains elements of reduced norm $-1$ if and only if the Brauer class of $A$ is trivial. We generalize this statement to Azumaya algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a5460e2ca9655177210919526a2716c
https://doi.org/10.1016/j.jpaa.2020.106477
https://doi.org/10.1016/j.jpaa.2020.106477
Autor:
Uriya A. First
Publikováno v:
Communications in Algebra. 44:2567-2582
We introduce and study categorical realizations of quivers. This construction generalizes comma categories and includes representations of quivers on categories, twisted representations of quivers and bilinear pairings as special cases. We prove a Kr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a029b9fc0d398fd711d490173cbecaa
https://doi.org/10.1080/00927872.2015.1065836
https://doi.org/10.1080/00927872.2015.1065836
Autor:
Thomas Rüd, Uriya A. First
Let $G$ be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of $G$ are uniformly admissible if and only if the irreducible smooth representations of $G$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1f32aa8b228dacb5ca5d1b6347df94c
Publikováno v:
Pacific Journal of Mathematics
We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian category. The sesquilinear forms are not required to be unimodular or def
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ae4001c82ff9cce79fc0c451f863078
https://doi.org/10.2140/pjm.2014.270.1
https://doi.org/10.2140/pjm.2014.270.1
Autor:
Uriya A. First, Uzi Vishne
Publikováno v:
Linear Algebra and its Applications. 439:1905-1917
We examine potential extensions of the Stiefel–Whitney invariants from quadratic forms to bilinear forms which are not necessarily symmetric. We show that as long as the symbolic nature of the invariants is maintained, some natural extensions carry
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8621e49b98028d3f13d811675b9de586
https://doi.org/10.1016/j.laa.2013.05.024
https://doi.org/10.1016/j.laa.2013.05.024
Autor:
Uriya A. First
Publikováno v:
Journal of Algebra. 378:103-132
We say that a subring $R_0$ of a ring $R$ is semi-invariant if $R_0$ is the ring of invariants in $R$ under some set of ring endomorphisms of some ring containing $R$. We show that $R_0$ is semi-invariant if and only if there is a ring $S\supseteq R$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ac4bfdca6f5964eba6c7b99b00137a2
Autor:
Zinovy Reichstein, Uriya A. First
A classical theorem of Forster asserts that a finite module $M$ of rank $\leq n$ over a Noetherian ring of Krull dimension $d$ can be generated by $n + d$ elements. We prove a generalization of this result, with "module" replaced by "algebra". Here w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c60ceaa0d0933d4da6ef611f7e26abb
http://arxiv.org/abs/1610.08156
http://arxiv.org/abs/1610.08156