Loop Grassmannians of Quivers and Affine Quantum Groups

Ivan Mirković, Yaping Yang, Gufang Zhao

Type: Book-Chapter

Publication Date: 2021-08-31

Citations: 4

DOI: https://doi.org/10.1007/978-3-030-82007-7_8

View Publication

Download PDF

Locations

Trends in mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Loop Grassmannians of quivers and affine quantum groups	2018	Ivan Mirković Yaping Yang Gufang Zhao
+	Quiver varieties and finite dimensional representations of quantum affine algebras	2000	Hiraku Nakajima
+	Loop Grassmannians in the framework of local spaces over a curve	2014	Ivan Mirković
+ PDF Chat	Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality	2018	Ryo Fujita
+	Quantum affine $\frak{gl}_n$ via Hecke algebras	2013	Jie Du Qiang Fu
+	Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture	2010	Peter Fiebig
+	Loop groups and loop algebras	1997	Martin A. Guest
+	Algebraic groups and quantum groups : International Conference on Representation Theory of Algebraic Groups and Quantum Groups '10 August 2-6, 2010, graduate school of mathematics, Nagoya University, Nagoya, Japan	2012	Quantum Groups 進有木
+	On the category $\mathcal{O}$ of a hybrid quantum group	2022	Quan Situ
+	The class of the affine line is a zero divisor in the Grothendieck ring: Via 𝐺₂-Grassmannians	2018	Atsushi Ito Makoto Miura Shinnosuke Okawa Kazushi Ueda
+ PDF Chat	Category O for quantum loop algebras	2025	Andrei Neguţ
+	Quantum affine <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math> via Hecke algebras	2015	Jie Du Qiang Fu
+	Notes on Schubert classes of a loop group	2007	Péter Magyar
+ PDF Chat	Quantum loop algebras, quiver varieties, and cluster algebras	2011	Bernard Leclerc
+ PDF Chat	Quiver Grassmannians of Extended Dynkin type 𝐷 Part 1: Schubert Systems and Decompositions Into Affine Spaces	2019	Oliver Lorscheid Thorsten Weist
+	The affine Yangian of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math> revisited	2016	Alexander Tsymbaliuk
+ PDF Chat	Some extensions of the notion of loop Grassmannians	2017	Ivan Mirković
+	Elliptic quantum groups and their finite-dimensional representations	2017	Sachin Gautam Valerio Toledano-Laredo
+	Elliptic quantum groups and their finite-dimensional representations	2017	Sachin Gautam Valerio Toledano-Laredo
+	Quantum Cohomology of Slices of the Affine Grassmannian	2020	Ivan Danilenko

Works That Cite This (4)

Action	Title	Year	Authors
+ PDF Chat	The Mirkovic-Vilonen basis and Duistermaat-Heckman measures	2019	Pierre Baumann Joel Kamnitzer Allen Knutson
+ PDF Chat	The Cohomological Hall Algebras of a Preprojective Algebra with Symmetrizer	2022	Yaping Yang Gufang Zhao
+ PDF Chat	Elliptic zastava	2022	Michael Finkelberg Mykola Matviichuk Alexander Polishchuk
+ PDF Chat	The Mirković–Vilonen basis and Duistermaat–Heckman measures	2021	Pierre Baumann Joel Kamnitzer Allen Knutson

Works Cited by This (32)

Action	Title	Year	Authors
+ PDF Chat	Abelian Varieties, Theta Functions and the Fourier Transform	2003	Alexander Polishchuk
+ PDF Chat	Formal schemes and formal groups	1999	Neil Strickland
+	Elliptic Algebras and Equivariant Elliptic Cohomology	1995	Victor Ginzburg Mikhail Kapranov Éric Vasserot
+	Quiver varieties and finite dimensional representations of quantum affine algebras	2000	Hiraku Nakajima
+	Basic representations of affine Lie algebras and dual resonance models	1980	Igor Frenkel Victor G. Kač
+ PDF Chat	Contractibility of the space of rational maps	2012	Dennis Gaitsgory
+	A realization of the modular functor in the space of differentials and the geometric approximation of the moduli space ofG-bundles	1995	A. V. Stoyanovsky Boris Feigin
+ PDF Chat	Geometric Langlands duality and representations of algebraic groups over commutative rings	2007	Ivan Mirković Kari Vilonen
+ PDF Chat	Unitary representations of some infinite dimensional groups	1981	Graeme Segal
+	Preprojective algebras and MV polytopes	2010	Pierre Baumann Joel Kamnitzer