most citedDirac inequality for highest weight Harish-Chandra modules II

4 citations · 9 across the 6 of their papers we have counts for

collaborators

6 papers

cs.IT2022

Statistical characterization of the chordal product determinant of Grassmannian codes

Javier Álvarez-Vizoso, Carlos Beltrán, Diego Cuevas +3

We consider the chordal product determinant, a measure of the distance between two subspaces of the same dimension. In information theory, collections of elements in the complex Gr…

math.RT2022★ 4 cited

Dirac inequality for highest weight Harish-Chandra modules II

Pavle Pandžić, Ana Prlić, Vladimír Souček +1

Let be a connected simply connected noncompact exceptional simple Lie group of Hermitian type. In this paper, we work with the Dirac inequality which is a very useful tool for…

math.RT2022★ 3 cited

Dirac inequality for highest weight Harish-Chandra modules I

Pavle Pandžić, Ana Prlić, Vladimír Souček +1

Let be a connected simply connected noncompact classical simple Lie group of Hermitian type. Then has unitary highest weight representations. The proof of the classificatio…

cs.IT2022★ 1 cited

Constellations on the Sphere with Efficient Encoding-Decoding for Noncoherent Communications

Javier Álvarez-Vizoso, Carlos Beltrán, Ignacio Santamaria +2

In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The co…

cs.IT2022★ 1 cited

Constrained Riemannian Noncoherent Constellations for the MIMO Multiple Access Channel

Javier Álvarez-Vizoso, Diego Cuevas, Carlos Beltrán +3

We consider the design of multiuser constellations for a multiple access channel (MAC) with K users, with M antennas each, that transmit simultaneously to a receiver equipped with…

math.AG2010

Hyperplane section of the complex Cayley plane as the homogeneous space

Peter Franek, Karel Pazourek, Vít Tuček

We prove that the exceptional complex Lie group has a transitive action on the hyperplane section of the complex Cayley plane . Our proof is direct and constru…