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Linear and Multilinear Algebra Volume 36, 1993 - Issue 2
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Original Articles

Sums of adjoint orbits

A. H. Dooley School of Mathematics, University of South Wales, Kensington, NSW, 2033, Australia
,
J. Repka Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 1A1, Canada
&
N. J. Wildberger School of Mathematics, University of New South Wales, Kensington, NSW, 2033, Australia
Pages 79-101 | Received 10 Apr 1992, Published online: 30 May 2007

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Rajendra Bhatia. (2001) Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities. The American Mathematical Monthly 108:4, pages 289-318.
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Ana Paula Santana, Jo[abar]o Filipe Queiró & Educardo Marques De Sá. (1999) Group representations and matrix spectral problems . Linear and Multilinear Algebra 46:1-2, pages 1-23.
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Articles from other publishers (24)

Colin McSwiggen. (2021) Box splines, tensor product multiplicities and the volume function. Algebraic Combinatorics 4:3, pages 435-464.
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Peter Forrester & Jiyuan Zhang. (2021) Corank-1 projections and the randomised Horn problem. Tunisian Journal of Mathematics 3:1, pages 55-73.
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Robert Coquereaux, Colin McSwiggen & Jean-Bernard Zuber. (2019) On Horn’s Problem and Its Volume Function. Communications in Mathematical Physics.
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Lin Zhang, Yixin Jiang & Junde Wu. (2019) Duistermaat–Heckman measure and the mixture of quantum states. Journal of Physics A: Mathematical and Theoretical 52:49, pages 495203.
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Robert Coquereaux, Colin McSwiggen & Jean-Bernard Zuber. (2019) Revisiting Horn’s problem. Journal of Statistical Mechanics: Theory and Experiment 2019:9, pages 094018.
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Jacques Faraut. (2019) Horn’s problem and Fourier analysis. Tunisian Journal of Mathematics 1:4, pages 585-606.
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Kathryn E. Hare & Jimmy He. (2018) A geometric proof of the $$L^{2}$$L2-singular dichotomy for orbital measures on Lie algebras and groups. Bollettino dell'Unione Matematica Italiana 11:4, pages 573-580.
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Sanjiv Kumar Gupta & Kathryn E. Hare. (2017) The absolute continuity of convolutions of orbital measures in symmetric spaces. Journal of Mathematical Analysis and Applications 450:1, pages 81-111.
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Kathryn E. Hare & Jimmy He. (2016) The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces. Monatshefte für Mathematik 182:3, pages 619-635.
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Matthias Christandl, Brent Doran, Stavros Kousidis & Michael Walter. (2014) Eigenvalue Distributions of Reduced Density Matrices. Communications in Mathematical Physics 332:1, pages 1-52.
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K. E. HARE, D. L. JOHNSTONE, F. SHI & W.-K. YEUNG. (2013) THE -SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS. Journal of the Australian Mathematical Society 95:3, pages 362-382.
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Alex Wright. (2011) Sums of adjoint orbits and -singular dichotomy for . Advances in Mathematics 227:1, pages 253-266.
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Manon Defosseux. (2010) Orbit measures, random matrix theory and interlaced determinantal processes. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 46:1.
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Sanjiv Kumar Gupta & Kathryn E. Hare. (2009) -singular dichotomy for orbital measures of classical compact Lie groups . Advances in Mathematics 222:5, pages 1521-1573.
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Philippe Biane, Philippe Bougerol & Neil O'Connell. (2009) Continuous crystal and Duistermaat–Heckman measure for Coxeter groups. Advances in Mathematics 221:5, pages 1522-1583.
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SANJIV KUMAR GUPTA & KATHRYN E. HARE. (2009) CONVOLUTIONS OF GENERIC ORBITAL MEASURES IN COMPACT SYMMETRIC SPACES. Bulletin of the Australian Mathematical Society 79:03, pages 513.
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Sanjiv Kumar Gupta, Kathryn E. Hare & Sobhan Seyfaddini. (2008) L 2-singular dichotomy for orbital measures of classical simple Lie algebras. Mathematische Zeitschrift 262:1, pages 91-124.
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Avital Frumkin & Assaf Goldberger. (2006) On the distribution of the spectrum of the sum of two hermitian or real symmetric matrices. Advances in Applied Mathematics 37:2, pages 268-286.
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Margit Rösler & Michael Voit. (2006) SU(d)-Biinvariant Random Walks on $$SL\,{\left( {d,\,\mathbb{C}} \right)}$$ and their Euclidean Counterparts. Acta Applicandae Mathematicae 90:1-2, pages 179-195.
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Sanjiv Gupta & Kathryn E. Hare. (2005) The Dichotomy Problem for Orbital Measures of SU(n). Monatshefte für Mathematik 146:3, pages 227-238.
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Sara Billey, Victor Guillemin & Etienne Rassart. (2004) A vector partition function for the multiplicities of slkC. Journal of Algebra 278:1, pages 251-293.
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Alexander A. Klyachko. (2000) Random walks on symmetric spaces and inequalities for matrix spectra. Linear Algebra and its Applications 319:1-3, pages 37-59.
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William Fulton. (2000) Eigenvalues, invariant factors, highest weights, and Schubert calculus. Bulletin of the American Mathematical Society 37:3, pages 209-249.
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Jane Day, Wasin So & Robert C. Thompson. (1998) The spectrum of a Hermitian matrix sum. Linear Algebra and its Applications 280:2-3, pages 289-332.
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