TY - JOUR

T1 - Correction to

T2 - Homological multiplicities in representation theory of p-adic groups (Mathematische Zeitschrift, (2020), 294, 1-2, (451-469), 10.1007/s00209-019-02262-4)

AU - Aizenbud, Avraham

AU - Sayag, Eitan

N1 - Funding Information:
We would like to thank Raphaël Beuzart-Plessis for detecting the error in [1 , §6] and Yangyu Fan for detecting the error in [1 , Lemma B.2].
Publisher Copyright:
© 2021, Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - Regrettably, the paper [1] had two incorrect lemmas. Nevertheless, the statements of the theorems in [1] are correct with no modification required. Specifically, [1, Lemma 6.4] does not hold for spherical spaces, and also the conclusion of [1, Lemma B.2] is not valid in the generality stated there. The effect of the error in [1, Lemma 6.4] on the proof of [1, Theorem 6.1] is significant. In § 1 one we provide a proof of [1, Theorem 6.1] that does not relay upon [1, Lemma 6.4]. The effect of the error in [1, Lemma B.2] is minor and we explain the nessecary modifications in §2.

AB - Regrettably, the paper [1] had two incorrect lemmas. Nevertheless, the statements of the theorems in [1] are correct with no modification required. Specifically, [1, Lemma 6.4] does not hold for spherical spaces, and also the conclusion of [1, Lemma B.2] is not valid in the generality stated there. The effect of the error in [1, Lemma 6.4] on the proof of [1, Theorem 6.1] is significant. In § 1 one we provide a proof of [1, Theorem 6.1] that does not relay upon [1, Lemma 6.4]. The effect of the error in [1, Lemma B.2] is minor and we explain the nessecary modifications in §2.

UR - http://www.scopus.com/inward/record.url?scp=85110894818&partnerID=8YFLogxK

U2 - 10.1007/s00209-021-02806-7

DO - 10.1007/s00209-021-02806-7

M3 - Comment/debate

AN - SCOPUS:85110894818

VL - 300

SP - 2093

EP - 2098

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

IS - 2

ER -