Results 131 to 140 of about 187,454 (230)
Webb's conjecture and generalised Harish‐Chandra theory
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1083-1092, April 2025.Abstract Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime ℓ$\ell$ is contractible. This conjecture was proved by Symonds in 1998. In this paper, we suggest a generalisation of Webb's conjecture for finite reductive groups.
Damiano Rossi
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The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
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The spectrum of the adjoint representation and the hyperbolicity of dynamical systems
, 1980 Carmen Chicone, R. C. Swanson
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Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, EarlyView.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
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A note on integrabiliy of Hamiltonian systems on the co-adjoint Lie groupoids [PDF]
arXivAs we said in our previous work [4], the main idea of our research is to introduce a class of Lie groupoids by means of co-adjoint representation of a Lie groupoid on its isotropy Lie algebroid, which we called coadjoint Lie groupoids. In this paper, we will examine the relationship between structural mappings of the Lie algebroid associated to Lie ...
arxiv
On the injective dimension of unit Cartier and unit Frobenius modules
Bulletin of the London Mathematical Society, EarlyView.Abstract Let R$R$ be a regular F$F$‐finite ring of prime characteristic p$p$. We prove that the injective dimension of every unit Frobenius module M$M$ in the category of unit Frobenius modules is at most dim(SuppR(M))+1$\dim (\operatorname{Supp}_R(M))+1$.
Manuel Blickle +3 more
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On the stack of 0‐dimensional coherent sheaves: Motivic aspects
Bulletin of the London Mathematical Society, EarlyView.Abstract Let X$X$ be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack Cohn(X)$\mathcal {C}\hspace{-2.5pt}{o}\hspace{-1.99997pt}{h}^n(X)$ of 0‐dimensional coherent sheaves of length n$n$ on X$X$. To do so, we review the construction of the support map Cohn(X)→Symn(X)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
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On the Terwilliger Algebra of the Group Association Scheme of the Symmetric Group Sym ( 7 )
Journal of Combinatorial Designs, Volume 33, Issue 7, Page 261-274, July 2025.ABSTRACT Terwilliger algebras are finite‐dimensional semisimple algebras that were first introduced by Paul Terwilliger in 1992 in studies of association schemes and distance‐regular graphs. The Terwilliger algebras of the conjugacy class association schemes of the symmetric groups Sym ( n ), for 3 ≤ n ≤ 6, have been studied and completely determined ...
Allen Herman +2 more
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Parametrization of supercuspidal representations of depth zero for some simple adjoint groups [PDF]
arXivWe construct a surjective map from the set of conjugacy classes of depth-zero cuspidal enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases.
arxiv
A Category for the Adjoint Representation
, 2001 Ruth Stella Huerfano, Mikhail Khovanov
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