V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linear $SL(2)$ representations”, Mat. Zametki, 16:6 (1974), 943–950; Math. Notes, 16:6 (1974), 1159

Loading [MathJax]/jax/output/CommonHTML/jax.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 1974, Volume 16, Issue 6, Pages 943–950 (Mi mzm7536)

This article is cited in 6 scientific papers (total in 6 papers)

Structure of the closure of orbits in spaces of finite-dimensional linear

$SL(2)$ representations

V. L. Popov

Moscow Institute of Electronic Engineering

Full-text PDF (603 kB) Citations (6)

Abstract: The orbital decomposition of the closure of an arbitrary orbit in the space of a finite-dimensional linear representation of the group

$SL(2)$ is described in terms of certain integervalued invariants. The basic field is algebraically closed and has zero characteristic.

Received: 26.03.1973

English version:
Mathematical Notes, 1974, Volume 16, Issue 6, Pages 1159–1162
DOI: https://doi.org/10.1007/BF01098443

Bibliographic databases:

Document Type: Article

UDC: 519.4

Language: Russian

Citation: V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linear

$SL(2)$ representations”, Mat. Zametki, 16:6 (1974), 943–950; Math. Notes, 16:6 (1974), 1159–1162

Citation in format AMSBIB

\Bibitem{Pop74}

\by V.~L.~Popov

\paper Structure of the closure of orbits in spaces of finite-dimensional linear $SL(2)$ representations

\jour Mat. Zametki

\yr 1974

\vol 16

\issue 6

\pages 943--950

\mathnet{http://mi.mathnet.ru/mzm7536}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=371914}

\zmath{https://zbmath.org/?q=an:0313.20024}

\transl

\jour Math. Notes

\yr 1974

\vol 16

\issue 6

\pages 1159--1162

\crossref{https://doi.org/10.1007/BF01098443}

Linking options:

https://www.mathnet.ru/eng/mzm7536

https://www.mathnet.ru/eng/mzm/v16/i6/p943

This publication is cited in the following 6 articles:

V. L. Popov, “Two Orbits: When Is One in the Closure of the Other?”, Proc. Steklov Inst. Math., 264 (2009), 146–158
E. V. Sharoiko, “On the Finiteness of the Number of Orbits on Quasihomogeneous $(\mathbb C^*)^k\times SL_2(\mathbb C)$ -manifolds”, Math. Notes, 81:5 (2007), 686–694
Franz Pauer, “Closures of SL(2)-orbits in projective spaces”, Manuscripta Math, 87:1 (1995), 295
Dina Bartels, Lecture Notes in Mathematics, 1146, Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin, 1985, 1
V. L. Popov, “Syzygies in the theory of invariants”, Math. USSR-Izv., 22:3 (1984), 507–585
Dina Bartels, Lecture Notes in Mathematics, 924, Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin, 1982, 384

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	427
Full-text PDF :	173
First page:	1

Registration to the website

Logotypes