The Bott–Borel–Weil Theorem

Ivan Penkov; Crystal Hoyt

doi:10.1007/978-3-030-89660-7_10

The Bott–Borel–Weil Theorem

Ivan Penkov, Crystal Hoyt

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we give a glimpse into the interaction between algebra and geometry in representation theory. The Bott–Borel–Weil Theorem is one of the origins of geometric representation theory, which is currently a leading branch of representation theory.

Original language	English
Title of host publication	Springer Monographs in Mathematics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	187-226
Number of pages	40
DOIs	https://doi.org/10.1007/978-3-030-89660-7_10
State	Published - 2022
Externally published	Yes

Publication series

Name	Springer Monographs in Mathematics
ISSN (Print)	1439-7382
ISSN (Electronic)	2196-9922

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Access to Document

10.1007/978-3-030-89660-7_10

Cite this

@inbook{8c001eed64a34d5c816f810d24b01d27,

title = "The Bott–Borel–Weil Theorem",

abstract = "In this chapter, we give a glimpse into the interaction between algebra and geometry in representation theory. The Bott–Borel–Weil Theorem is one of the origins of geometric representation theory, which is currently a leading branch of representation theory.",

author = "Ivan Penkov and Crystal Hoyt",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2022",

doi = "10.1007/978-3-030-89660-7_10",

language = "אנגלית",

series = "Springer Monographs in Mathematics",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "187--226",

booktitle = "Springer Monographs in Mathematics",

address = "גרמניה",

}

TY - CHAP

T1 - The Bott–Borel–Weil Theorem

AU - Penkov, Ivan

AU - Hoyt, Crystal

PY - 2022

Y1 - 2022

N2 - In this chapter, we give a glimpse into the interaction between algebra and geometry in representation theory. The Bott–Borel–Weil Theorem is one of the origins of geometric representation theory, which is currently a leading branch of representation theory.

AB - In this chapter, we give a glimpse into the interaction between algebra and geometry in representation theory. The Bott–Borel–Weil Theorem is one of the origins of geometric representation theory, which is currently a leading branch of representation theory.

UR - http://www.scopus.com/inward/record.url?scp=85122691350&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-89660-7_10

DO - 10.1007/978-3-030-89660-7_10

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.chapter???

AN - SCOPUS:85122691350

T3 - Springer Monographs in Mathematics

SP - 187

EP - 226

BT - Springer Monographs in Mathematics

PB - Springer Science and Business Media Deutschland GmbH

ER -

The Bott–Borel–Weil Theorem

Abstract

Publication series

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this