Hall Lie algebras of toric monoid schemes
DOI10.1007/s00029-023-00913-3arXiv2008.11302OpenAlexW4391664938MaRDI QIDQ6201775
Publication date: 21 February 2024
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.11302
infinite-dimensional Lie algebraHall algebraloop algebramonoid schemeskew shapeproto-abelianproto-exact
Combinatorial aspects of representation theory (05E10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Universal enveloping algebras of Lie algebras (16S30) (Co)homology theory in algebraic geometry (14F99) Hopf algebras and their applications (16T05) Combinatorial aspects of algebraic geometry (05E14) Geometry over the field with one element (14A23)
Cites Work
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- On the Hall algebra of coherent sheaves on \(\mathbb P^1\) over \(\mathbb F^1\)
- On the Hall algebra of an elliptic curve. I.
- On the Hall algebra of an elliptic curve. II
- Toric varieties, monoid schemes and cdh descent
- The Hall algebra of a curve
- Vector bundles over projective spaces. The case \({\mathbb F_1}\)
- Incidence categories
- Quasicoherent sheaves on projective schemes over \(\mathbb{F}_1\)
- Sheaves and \(K\)-theory for \(\mathbb F_1\)-schemes
- Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
- \(\mathbb F_1\)-schemes and toric varieties
- Fun with \(\mathbb F_1\)
- Feynman graphs, rooted trees, and Ringel-Hall algebras
- Hall algebras and quantum groups
- Eisenstein series and quantum affine algebras
- Hopf algebras, renormalization and noncommutative geometry
- Incidence Hopf algebras
- The Hopf algebra of skew shapes, torsion sheaves on \(\mathbb{A}_{/ \mathbb{F}_1}^n\), and ideals in Hall algebras of monoid representations
- \(\mathbb{F}_{1}\) for everyone
- Hall algebras, hereditary algebras and quantum groups
- Kleinian singularities, derived categories and Hall algebras
- On cohomology and vector bundles over monoid schemes
- Free Hopf algebras generated by coalgebras
- Number fields and function fields -- two parallel worlds
- On the Hall algebra of semigroup representations over \(\mathbb F_1\).
- The Hall algebra of the category of coherent sheaves on the projective line
- Representations of Quivers Over F1 and Hall Algebras
- Quantum ${{\mathbb{F}}_{{\rm un}}}$: theq= 1 limit of Galois field quantum mechanics, projective geometry and the field with one element
- Combinatorial Hopf algebras
- On the notion of geometry over 𝔽₁
- Schemes over 𝔽1and zeta functions
- The elliptic Hall algebra, Cherednik Hecke algebras and Macdonald polynomials
- Toric Singularities
- Higher Categorical Aspects of Hall Algebras
- The $K’$–theory of monoid sets
- Higher Segal Spaces
- Au-dessous de Specℤ
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