Gelfand criterion and multiplicity one results for \(\mathrm{GL}_n\) over finite chain rings
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Publication:2065340
DOI10.1007/s13226-021-00188-4zbMath1496.20077OpenAlexW3207840569MaRDI QIDQ2065340
Publication date: 7 January 2022
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-021-00188-4
Representation theory for linear algebraic groups (20G05) Linear algebraic groups over local fields and their integers (20G25)
Cites Work
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- On the unramified principal series of \(\mathrm{GL}(3)\) over non-Archimedean local fields
- Multiplicity one theorems
- On representations of general linear groups over principal ideal local rings of length two.
- Two multiplicity-free permutation representations of the general linear group \(GL(n,q^ 2)\)
- Branching rules for unramified principal series representations of GL(3) over a \(p\)-adic field
- Representations of finite classical groups. A Hopf algebra approach
- Regular characters of groups of type \(\mathsf{A}_n\) over discrete valuation rings
- An analogue of the Steinberg character for the general linear group over the integers modulo a prime power.
- Regular elements and regular characters of \(GL_ n({\mathcal O})\)
- Irreducible representations of the binary modular congruence groups mod \(p^ \lambda\)
- Construction and classification of irreducible representations of special linear group of the second order over a finite field
- Lie Groups
- The Characters of the Finite General Linear Groups
- Some applications of Gelfand pairs to number theory
- Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field
- A Note on Bruhat Decomposition ofGL(n) over Local Principal Ideal Rings
- The regular representations of GLN over finite local principal ideal rings
- Representations of 𝐺𝐿_{𝑁} over finite local principal ideal rings: An overview
- A VARIANT OF HARISH-CHANDRA FUNCTORS
- REPRESENTATIONS OF THE FULL LINEAR GROUP OVER A FINITE FIELD
- On cuspidal representations of general linear groups over discrete valuation rings
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