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pro vyhledávání: '"Nevins, Monica"'
Autor:
Nevins, Monica, Pumpluen, Susanne
We determine and explicitly parametrize the isomorphism classes of nonassociative quaternion algebras over a field of characteristic different from two, as well as the isomorphism classes of nonassociative cyclic algebras of odd prime degree when the
Externí odkaz:
http://arxiv.org/abs/2406.11419
Autor:
Nevins, Monica
Publikováno v:
Pacific J. Math. 329 (2024) 259-301
We show there exist representations of each maximal compact subgroup $K$ of the $p$-adic group $G=\mathrm{SL}(2,F)$, attached to each nilpotent coadjoint orbit, such that every irreducible representation of $G$, upon restriction to a suitable subgrou
Externí odkaz:
http://arxiv.org/abs/2309.17213
Publikováno v:
Indagationes Mathematicae, 2024 (special issue in memory of Gerrit van Dijk)
Let $\mathfrak g$ be either the Lie superalgebra $\mathfrak{gl}(V)\oplus\mathfrak{gl}(V)$ where $V:=\mathbb C^{m|n}$ or the Lie superalgebra $\mathfrak{gl}(V)$ where $V:=\mathbb C^{m|2n}$. Furthermore, let $W$ be the $\mathfrak g$-module defined by $
Externí odkaz:
http://arxiv.org/abs/2307.02307
Autor:
Nevins, Monica, Pumplün, Susanne
Publikováno v:
In Journal of Algebra 15 February 2025 664 Part A:631-654
Autor:
Latham, Peter, Nevins, Monica
Given a $p$-adic group $G$ equipped with an action of a finite group $\Gamma\subset\mathrm{Aut}_F(\mathbf{G})$, and a reductive fixed-point subgroup $G^\Gamma$, we establish a relationship between constructions of types for these two groups due to Yu
Externí odkaz:
http://arxiv.org/abs/2104.01510
Publikováno v:
In Indagationes Mathematicae May 2024
Autor:
Latham, Peter, Nevins, Monica
For an essentially tame supercuspidal representation $\pi$ of a connected reductive $p$-adic group $G$, we establish two distinct and complementary sufficient conditions for the irreducible components of its restriction to a maximal compact subgroup
Externí odkaz:
http://arxiv.org/abs/1909.05895
For local non-archimedean fields $k$ of sufficiently large residual characteristic, we explicitly parametrize and count the rational nilpotent adjoint orbits in each algebraic orbit of orthogonal and special orthogonal groups. We separately give an e
Externí odkaz:
http://arxiv.org/abs/1808.03593
Autor:
Latham, Peter, Nevins, Monica
Publikováno v:
Representations of reductive p-adic groups, Springer/Birkhauser (2019), 175-190
For tame arbitrary-length toral, also called positive regular, supercuspidal representations of a simply connected and semisimple $p$-adic group $G$, constructed as per Adler-Yu, we determine which components of their restriction to a maximal compact
Externí odkaz:
http://arxiv.org/abs/1801.06721
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