Exterior Powers and Pointwise Creation Operators
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DOI: 10.1007/s11785-020-01074-3
Abstract: We develop a theory of pointwise wedge products of vector-valued functions on the circle and the disc, and obtain results which give rise to a new approach to the analysis of the matricial Nehari problem.… read more here.
Keywords: creation operators; exterior powers; pointwise creation; powers pointwise ... See more keywords
Exterior powers of the adjoint representation and the Weyl ring of E8
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DOI: 10.1016/j.jalgebra.2020.01.020
Abstract: I derive explicitly all polynomial relations in the character ring of $E_8$ of the form $\chi_{\wedge^k \mathfrak{e}_8} - \mathfrak{p}_{k} (\chi_{1}, \dots, \chi_{8})=0$, where $\wedge^k \mathfrak{e}_8$ is an arbitrary exterior power of the adjoint representation and… read more here.
Keywords: weyl ring; powers adjoint; adjoint representation; representation ... See more keywords
Indecomposable objects of Rep_(GLt) in terms of exterior powers of the tautological object and its dual
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DOI: 10.1016/j.jalgebra.2020.03.023
Abstract: Abstract The purpose of this short note is to understand the split Grothendieck ring of the Deligne category Rep _ ( G L t ) . We give a formula for the class of an… read more here.
Keywords: terms exterior; tautological object; object dual; indecomposable objects ... See more keywords