Spherical subcategories in representation theory
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2075-4
Abstract: We introduce a new invariant for triangulated categories: the poset of spherical subcategories ordered by inclusion. This yields several numerical invariants, like the cardinality and the height of the poset. We explicitly describe spherical subcategories… read more here.
Keywords: subcategories representation; representation theory; spherical subcategories;
Homological multiplicities in representation theory of p-adic groups
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DOI: 10.1007/s00209-019-02262-4
Abstract: For a spherical variety X of a reductive group G over a non-archimedean local field F, and for a smooth representation $$\pi $$π of G we study homological multiplicities $$\dim {\text {Ext}}_{G}^{*}(\mathcal {S}(X),\pi )$$dimExtG∗(S(X),π). Based… read more here.
Keywords: adic groups; homological multiplicities; theory adic; multiplicities representation ... See more keywords
Hibi Algebras and Representation Theory
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-018-0263-2
Abstract: This paper gives a survey on the relation between Hibi algebras and representation theory. The notion of Hodge algebras or algebras with straightening laws has been proved to be very useful to describe the structure… read more here.
Keywords: algebras representation; hibi algebras; representation theory; theory ... See more keywords
Derived representation theory of Lie algebras and stable homotopy categorification of sl
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DOI: 10.1016/j.aim.2018.10.044
Abstract: We set up foundations of representation theory over $S$, the sphere spectrum, which is the `initial ring' of stable homotopy theory. In particular, we treat $S$-Lie algebras and their representations, characters, $gl_n(S)$-Verma modules and their… read more here.
Keywords: homotopy; stable homotopy; lie algebras; representation theory ... See more keywords
A new approach to the representation theory of the partition category
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DOI: 10.1016/j.jalgebra.2022.03.010
Abstract: We explain a new approach to the representation theory of the partition category based on a reformulation of the definition of the Jucys-Murphy elements introduced originally by Halverson and Ram and developed further by Enyang.… read more here.
Keywords: approach representation; representation theory; partition category; new approach ... See more keywords
A note on the representation theory of central extensions of reductive p-adic groups
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DOI: 10.1080/00927872.2023.2209647
Abstract: In this note, we verify that several fundamental results from the theory of representations of reductive $p$-adic groups, extend to finite central extensions of these groups. read more here.
Keywords: note representation; reductive adic; central extensions; representation theory ... See more keywords
A note on spectral analysis in automorphic representation theory for GL2: I
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DOI: 10.1142/s1793042117501500
Abstract: We establish the Fourier inversion for the smooth vectors in L2(GL2, ω) over a number field F, using minimal knowledge from automorphic representation theory. We point out a possible way to establish Fourier inversion for… read more here.
Keywords: fourier inversion; representation theory; note spectral; automorphic representation ... See more keywords
Unveiling the Smart City Concept: Perspectives from an Emerging Market via the Social Representation Theory
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DOI: 10.3390/su15108155
Abstract: This study aims to investigate the perception of citizens about the smart city construct since, so far, there is no consensus on what a “smart city” really is. As a result of this, the term… read more here.
Keywords: city concept; smart city; representation theory; social representation ... See more keywords