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Showing 1 to 5 of 5 for “"Grothendieck Group"”.
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Stable characters for symmetric groups and wreath products
Given a Hopf algebra R, the Grothendieck group of C = R-mod inherits the structure of a ring. We define a ring [mathematical equation]), which is "the [mathematical equation] limit" of the Grothendieck rings of modules for the wreath products [mathematical equation]; it is the Grothendieck group of …
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Aspects of higher degree forms with symmetries
… for alternating spaces; and construct a Witt-Grothendieck group of alternating spaces. In Chapter Two we discuss hyperbolic alternating space. We compute the centre, algebraic isometry group and its corresponding Lie algebra, and prove a descent result. There are important parallels with …
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Kazhdan-Laumon Categories and Representations
… an abelian category A associated to a reductive group G over a finite field, with the aim of using it to construct discrete series representations of the finite Chevalley group G(F subscript q). The welldefinedness of their construction depended on their conjecture that this category has finite …
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
… identified with the state space of the Cuntz semigroup <em>W</em>(<em>A</em>). From [6], <em>LDF</em>(<em>A</em>) bijectively corresponds to the space of all normalized quasitraces <em>QT</em>(<em>A</em>) through a continuous affine map. [6] conjectures <em>LDF</em>(<em> A</em>) to be pointwise …
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Generalized Rank Invariant : Structure, Möbius Inversion, and Persistence Diagram
Topological Data Analysis relies on persistent homology to quantify the shape of data. Unlike the one-parameter case, multiparameter persistence modules lack a complete discrete invariant analogous to barcodes, and their classification requires tools that can capture subtle interactions across the …