✦ LIBER ✦

Weil Representations of Unitary Groups

✍ Scribed by Fernando Szechtman

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 207 KB
Volume: 221
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7959

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Some Characterizations of the Weil Repre

Some Characterizations of the Weil Representations of the Symplectic and Unitary Groups

✍ Pham Huu Tiep; Alexander E. Zalesskii 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 425 KB

Let G be a finite symplectic or unitary group. We characterize the Weil representations of G via their restriction to a standard subgroup. Then we complete the determination of complex representations of G with specific minimal polynomials of certain elements by showing that they coincide with the W

Low-Dimensional Representations of Speci

Low-Dimensional Representations of Special Unitary Groups

✍ Gerhard Hiss; Gunter Malle 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 170 KB

We prove gap results for the low-dimensional representation of unitary groups in nondefining characteristics. More precisely, we give a lower bound for the third smallest degree of a nontrivial absolutely irreducible representation of the groups mentioned above, which is almost in the order of magni

Weil Representations of the Symplectic G

Weil Representations of the Symplectic Group

✍ Fernando Szechtman 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 253 KB

We have deliberately favoured constructive proofs to existence arguments. In regards to linear representations, emphasis has been placed on matrices and linear transformations rather than modules and characters. As a result, every proposition asserting the existence of a certain object can be used a

Integrating Unitary Representations of I

Integrating Unitary Representations of Infinite-Dimensional Lie Groups

✍ Valerio Toledano Laredo 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 237 KB

We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor

Restrictions of Irreducible Unitary Repr

Restrictions of Irreducible Unitary Representations of Nilpotent Lie Groups to Lattices

✍ M.B. Bekka; P. Driutti 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 172 KB

## RESTRICTION OF REPRESENTATIONS with Q-linearly independent real numbers : 1 , : 2 . Then By Proposition 1.1, r l is not contained in a proper rational ideal of g. So, ? l | 1 is irreducible, by Theorem 1.1. Now, if f =n 4 X 4 \*+n 5 X 5 \* # g\* with n 4 , n 5 # Z&[0] then it is easy to see th

Matter waves in terms of the unitary rep

Matter waves in terms of the unitary representations of the Lorentz group

✍ R.A. Frick 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 177 KB 👁 1 views

In a generalized Heisenberg/Schrödinger picture, the unitary representations of the Lorentz group may, for a massive relativistic particle, be used to attribute to waves an extra wavelength that is longer than the de Broglie wavelength. Propagators are defined as spacetime transitions between states