Hall Lie algebras of toric monoid schemes (Q6201775)

scientific article; zbMATH DE number 7807765

Language	Label	Description	Also known as
English	Hall Lie algebras of toric monoid schemes	scientific article; zbMATH DE number 7807765

Statements

instance of

scholarly article

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title

Hall Lie algebras of toric monoid schemes (English)

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Selecta Mathematica. New Series

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publication date

21 February 2024

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full work available at URL

https://arxiv.org/abs/2008.11302

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zbMATH Keywords

Hall algebra

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monoid scheme

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proto-exact

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proto-abelian

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skew shape

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infinite-dimensional Lie algebra

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loop algebra

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MaRDI profile type

MaRDI publication profile

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cites work

The Hall algebra of the category of coherent sheaves on the projective line

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On the Hall algebra of an elliptic curve. I.

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Sheaves and $K$-theory for $\mathbb F_1$-schemes

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Schemes over 𝔽<sub>1</sub>and zeta functions

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On the notion of geometry over 𝔽₁

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Fun with $\mathbb F_1$

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Toric varieties, monoid schemes and cdh descent

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Hopf algebras, renormalization and noncommutative geometry

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Quantum ${{\mathbb{F}}_{{\rm un}}}$: the<i>q</i>= 1 limit of Galois field quantum mechanics, projective geometry and the field with one element

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Q5200148

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$\mathbb F_1$-schemes and toric varieties

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Number fields and function fields -- two parallel worlds

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Remarks on zeta functions and $K$-theory over ${\mathbb F}_1$

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Higher Categorical Aspects of Hall Algebras

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Higher Segal Spaces

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Hall algebras, hereditary algebras and quantum groups

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The $K’$–theory of monoid sets

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Q3416969

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Toric Singularities

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Eisenstein series and quantum affine algebras

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The Hall algebra of a curve

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Kleinian singularities, derived categories and Hall algebras

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Feynman graphs, rooted trees, and Ringel-Hall algebras

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$\mathbb{F}_{1}$ for everyone

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Quasicoherent sheaves on projective schemes over $\mathbb{F}_1$

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Combinatorial Hopf algebras

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On cohomology and vector bundles over monoid schemes

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Hall algebras and quantum groups

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Q4981649

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On the Hall algebra of an elliptic curve. II

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The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials

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Q4655972

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Incidence Hopf algebras

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Incidence categories

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On the Hall algebra of coherent sheaves on $\mathbb P^1$ over $\mathbb F^1$

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Representations of Quivers Over F1 and Hall Algebras

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On the Hall algebra of semigroup representations over $\mathbb F_1$.

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The Hopf algebra of skew shapes, torsion sheaves on $\mathbb{A}_{/ \mathbb{F}_1}^n$, and ideals in Hall algebras of monoid representations

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Free Hopf algebras generated by coalgebras

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Au-dessous de Specℤ

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Vector bundles over projective spaces. The case ${\mathbb F_1}$

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Identifiers

arXiv ID

2008.11302

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DOI

10.1007/s00029-023-00913-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6201775