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Recognizing nullhomotopic maps into the classifying space of a Kac–Moody group

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3 Published in 2022 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-022-02981-1

Abstract: This paper extends certain characterizations of nullhomotopic maps between p-compact groups to maps with target the p-completed classifying space of a connected Kac-Moody group and source the classifying space of either a p-compact group or… read more here.

Keywords: kac moody; group; moody group; classifying space ... See more keywords

Hom-Lie structures on Kac–Moody algebras

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1 Published in 2018 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2018.08.022

Abstract: Abstract We describe Hom-Lie structures on affine Kac–Moody and related Lie algebras, and discuss the question when they form a Jordan algebra. read more here.

Keywords: hom lie; kac moody; lie structures; lie ... See more keywords

New representations of affine Kac-Moody algebras

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0 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2019.11.014

Abstract: Abstract Let h ˜ be a Cartan subalgebra of an affine Kac-Moody algebra without containing the center. In this paper, we classify the module structures on U ( h ˜ ) for all affine Kac-Moody… read more here.

Keywords: moody algebras; affine kac; representations affine; kac moody ... See more keywords

Path model for an extremal weight module over the quantized hyperbolic Kac-Moody algebra of rank 2

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1 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2020.1817467

Abstract: Abstract Let be a hyperbolic Kac-Moody algebra of rank 2, and set where are the fundamental weights. Denote by the extremal weight module of extremal weight λ with the extremal weight vector, and by the… read more here.

Keywords: moody algebra; weight; extremal weight; hyperbolic kac ... See more keywords

On the structure of Kac–Moody algebras

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1 Published in 2020 at "Canadian Journal of Mathematics"

DOI: 10.4153/s0008414x20000358

Abstract: Abstract Let A be a symmetrisable generalised Cartan matrix, and let $\mathfrak {g}(A)$ be the corresponding Kac–Moody algebra. In this paper, we address the following fundamental question on the structure of $\mathfrak {g}(A)$ : given… read more here.

Keywords: moody algebras; kac moody; moody; structure kac ... See more keywords