Branching rules for unramified principal series representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> over a p-adic field

Campbell, Peter S.; Nevins, Monica

doi:10.1016/j.jalgebra.2009.01.013

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Branching Rules For Ramified Principal Series Representation1

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Cited by 8 publications

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“…The argument of [CN,Proposition 3.3] therefore applies to give the following result in the Grothendieck group of K.…”

Section: Branching Rules For Ramified Principal Series Representationmentioning

confidence: 99%

Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field

Campbell¹,

Nevins²

2010

Can. j. math.

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Abstract. We decompose the restriction of ramified principal series representations of the p-adic group GL(3, k) to its maximal compact subgroup K = GL(3, R). Its decomposition is dependent on the degree of ramification of the inducing characters and can be characterized in terms of filtrations of the Iwahori subgroup in K. We establish several irreducibility results and illustrate the decomposition with some examples.

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“…The argument of [CN,Proposition 3.3] therefore applies to give the following result in the Grothendieck group of K.…”

Section: Branching Rules For Ramified Principal Series Representationmentioning

confidence: 99%

Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field

Campbell¹,

Nevins²

2010

Can. j. math.

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The newform K-type and p-adic spherical harmonics

Humphries

2023

Isr. J. Math.

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Gelfand criterion and multiplicity one results for $$\mathrm {GL}_n$$ over finite chain rings

Patel

Singla

2021

Indian J Pure Appl Math

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Branching rules for unramified principal series representations of GL(3) over a p-adic field

Cited by 8 publications

References 9 publications

Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field

Branching Rules for Ramified Principal Series Representations of GL(3) over a p-adic Field

The newform K-type and p-adic spherical harmonics

Gelfand criterion and multiplicity one results for $$\mathrm {GL}_n$$ over finite chain rings

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