On the Siegel-Weil Theorem for Loop Groups (II)
Representation Theory
2009-06-26 v1 Quantum Algebra
Abstract
We formulate and prove the Siegel-Weil formula for loop groups.
Cite
@article{arxiv.0906.4749,
title = {On the Siegel-Weil Theorem for Loop Groups (II)},
author = {Howard Garland and Yongchang Zhu},
journal= {arXiv preprint arXiv:0906.4749},
year = {2009}
}
Related papers
View all related →
Representation Theory · Mathematics
On the Siegel-Weil Theorem for Loop Groups (I)
Howard Garland, Yongchang Zhu
2019-12-19
Representation Theory · Mathematics
The Siegel-Weil formula for unitary groups: the second term range
Hengfei Lu
2019-08-30
Algebraic Geometry · Mathematics
An elementary proof of the group law for elliptic curves
Stefan Friedl
2017-10-03
alg-geom · Mathematics
Borel-Weil-Bott theory for Loop Groups
Constantin Teleman
2008-02-03
Representation Theory · Mathematics
A character formula for certain representations of loop groups based on non-simply connected Lie groups
Robert Wendt
2007-05-23
Analysis of PDEs · Mathematics
A Liouville theorem for the $2$-Hessian equation on the Heisenberg group
Wei Zhang, Qi Zhou
2025-09-11
Functional Analysis · Mathematics
A Restriction Theorem for M\'etivier Groups
Valentina Casarino, Paolo Ciatti
2023-02-14
Number Theory · Mathematics
On the graded ring of Siegel modular forms of degree two with respect to a non-split symplectic group
Hidetaka Kitayama
2015-03-17
Group Theory · Mathematics
Nilpotent Steiner loops of class 2
A. Grishkov, D. Rasskazova, M. Rasskazova, I. Stuhl
2017-12-22
Symplectic Geometry · Mathematics
Formulas of Verlinde type for non-simply connected groups
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
2007-05-23
Number Theory · Mathematics
On the Siegel-Weil formula for classical groups over function fields
Wei Xiong
2020-01-22
Representation Theory · Mathematics
Reducedness of twisted loop groups
Zhiyuan Ding
2025-10-10
Group Theory · Mathematics
On Oliver's $p$-group conjecture for Sylow subgroups of unitary groups
Xingzhong Xu
2024-12-04
Algebraic Topology · Mathematics
The Friedlander-Milnor conjectures
Ilias Amrani
2021-07-14
Group Theory · Mathematics
On Sylow theory for linear pseudofinite groups
Pınar Uğurlu
2023-04-18
Geometric Topology · Mathematics
A higher moment formula for the Siegel--Veech transform over quotients by Hecke triangle groups
Samantha K. Fairchild
2022-07-11
Number Theory · Mathematics
Higher Siegel--Weil formula for unitary groups II: corank one terms
Tony Feng, Benjamin Howard, Mikayel Mkrtchyan
2025-07-21
Representation Theory · Mathematics
Exterior and Symmetric Powers of Modules for Cyclic 2-Groups
Frank Himstedt, Peter Symonds
2015-10-09
High Energy Physics - Theory · Physics
Chiral Splitting at Work
Z. Hasiewicz, P. Siemion
2007-05-23
Commutative Algebra · Mathematics
Remarks on Euler class groups and two conjectures
Mrinal Kanti Das
2019-01-31
Representation Theory · Mathematics
Weil representations of twisted loop groups of type $A_n^{(2)}$
Yanze Chen, Yongchang Zhu
2022-10-03
Group Theory · Mathematics
On Wiegold's conjecture for the small Ree groups
Sira Busch, Mark Pengitore, Jeroen Schillewaert, Hendrik Van Maldeghem
2025-10-09
Number Theory · Mathematics
The Hilbert Modular Group and Orthogonal Groups
Adrian Hauffe-Waschbüsch, Aloys Krieg
2022-06-14
Algebraic Topology · Mathematics
Loop groups and twisted K-theory I
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
2014-02-26
Algebraic Geometry · Mathematics
Cyclic elements in semisimple Lie algebras
A. G. Elashvili, V. G. Kac, E. B. Vinberg
2014-01-17