QUASI-SPLIT SYMMETRIC PAIRS OF U(sln) AND STEINBERG VARIETIES OF CLASSICAL TYPE

Yiqiang Li

doi:10.1090/ERT/570

QUASI-SPLIT SYMMETRIC PAIRS OF U(sl_n) AND STEINBERG VARIETIES OF CLASSICAL TYPE

Yiqiang Li

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type An−1. This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of n-step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.

Original language	English
Pages (from-to)	903-934
Number of pages	32
Journal	Representation Theory
Volume	25
DOIs	https://doi.org/10.1090/ERT/570
State	Published - Oct 21 2021

Keywords

Borel-Moore homology
n-Step Steinberg varieties of classical type
quasi-split symmetric pairs of type An−1

Access to Document

10.1090/ERT/570

Cite this

@article{bc8748ae7b734055ad977c71589e0b9d,

title = "QUASI-SPLIT SYMMETRIC PAIRS OF U(sln) AND STEINBERG VARIETIES OF CLASSICAL TYPE",

abstract = "We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type An−1. This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of n-step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.",

keywords = "Borel-Moore homology, n-Step Steinberg varieties of classical type, quasi-split symmetric pairs of type An−1",

author = "Yiqiang Li",

note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society",

year = "2021",

month = oct,

day = "21",

doi = "10.1090/ERT/570",

language = "English",

volume = "25",

pages = "903--934",

journal = "Representation Theory",

issn = "1088-4165",

publisher = "American Mathematical Society",

}

TY - JOUR

T1 - QUASI-SPLIT SYMMETRIC PAIRS OF U(sln) AND STEINBERG VARIETIES OF CLASSICAL TYPE

AU - Li, Yiqiang

PY - 2021/10/21

Y1 - 2021/10/21

N2 - We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type An−1. This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of n-step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.

AB - We provide a Lagrangian construction for the fixed-point subalgebra, together with its idempotent form, in a quasi-split symmetric pair of type An−1. This is obtained inside the limit of a projective system of Borel-Moore homologies of the Steinberg varieties of n-step isotropic flag varieties. Arising from the construction are a basis of homological origin for the idempotent form and a geometric realization of rational modules.

KW - Borel-Moore homology

KW - n-Step Steinberg varieties of classical type

KW - quasi-split symmetric pairs of type An−1

UR - https://www.scopus.com/pages/publications/105038862413

U2 - 10.1090/ERT/570

DO - 10.1090/ERT/570

M3 - Article

AN - SCOPUS:105038862413

SN - 1088-4165

VL - 25

SP - 903

EP - 934

JO - Representation Theory

JF - Representation Theory

ER -

QUASI-SPLIT SYMMETRIC PAIRS OF U(sl_n) AND STEINBERG VARIETIES OF CLASSICAL TYPE

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this