PBW degeneration: algebra, geometry, and combinatorics
From MaRDI portal
Publication:1756430
DOI10.1007/s10958-018-4089-1zbMath1422.17011OpenAlexW2898384696MaRDI QIDQ1756430
Publication date: 14 January 2019
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-018-4089-1
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate flag varieties and Schubert varieties: a characteristic free approach
- Degenerate flag varieties: moment graphs and Schröder numbers
- Degenerate flag varieties of type A: Frobenius splitting and BW theorem
- Hassett-Tschinkel correspondence: Modality and projective hypersurfaces
- Quiver Grassmannians and degenerate flag varieties
- The median Genocchi numbers, \(q\)-analogues and continued fractions
- \({\mathbb{G}_a^M}\) degeneration of flag varieties
- Degenerate group of type \(A\): representations and flag varieties
- Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture
- PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
- A \(q\)-analog of the Seidel generation of Genocchi numbers
- The PBW filtration, Demazure modules and toroidal current algebras
- Interpretations combinatoires des nombres de Genocchi
- Gandhi \(q\)-polynomials and Denert statistic
- Further results on the Euler and Genocchi numbers
- Derangements and Genocchi numbers
- Degenerations of flag and Schubert varieties to toric varieties
- Toric degenerations of Schubert varieties
- The PBW filtration and convex polytopes in type B
- Kac-Moody groups, their flag varieties and representation theory
- One-dimensional nil-DAHA and Whittaker functions. II.
- Nonsymmetric difference Whittaker functions
- Essential signatures and canonical bases of irreducible representations of the group \(G_2\)
- Degenerate flag varieties and the median Genocchi numbers
- Desingularization of quiver Grassmannians for Dynkin quivers.
- Applications of the classical umbral calculus
- Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials
- PBW-filtration over ℤ and Compatible Bases for V ℤ(λ) in Type A n and C n
- Homological approach to the Hernandez-Leclerc construction and quiver varieties
- Symplectic Degenerate Flag Varieties
- Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$
- PBW Filtration and Bases for Symplectic Lie Algebras
- Degenerate Flag Varieties of Type A and C are Schubert Varieties
- A combinatorial formula for nonsymmetric Macdonald polynomials
- The PBW filtration
- On the Demazure character formula
- Combinatorial Aspects of Continued Fractions
- A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
- On the permutations counted by the Genocchi numbers of the first and second kind
