Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6)

Avraham Aizenbud; Dmitry Gourevitch; Bernhard Kroetz; Gang Liu

doi:10.1007/s00209-016-1699-5

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6)

Avraham Aizenbud, Dmitry Gourevitch, Bernhard Kroetz, Gang Liu

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

The following changes to the main results of [1] are necessary: (1) In Theorem A and Corollary B the following assumption is required: the number of orbits of the complexification H_C on G_C/P_C is finite, where P is a minimal parabolic subgroup of G. (2) In Theorem C the following additional assumption is required: the number of orbits of H_C on X_C is finite.

Original language	English
Pages (from-to)	993-994
Number of pages	2
Journal	Mathematische Zeitschrift
Volume	283
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-016-1699-5
State	Published - Aug 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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Aizenbud, A., Gourevitch, D., Kroetz, B., & Liu, G. (2016). Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6). Mathematische Zeitschrift, 283(3-4), 993-994. https://doi.org/10.1007/s00209-016-1699-5

Aizenbud, Avraham ; Gourevitch, Dmitry ; Kroetz, Bernhard et al. / Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016) : Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6). In: Mathematische Zeitschrift. 2016 ; Vol. 283, No. 3-4. pp. 993-994.

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title = "Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6)",

abstract = "The following changes to the main results of [1] are necessary: (1) In Theorem A and Corollary B the following assumption is required: the number of orbits of the complexification HC on GC/PC is finite, where P is a minimal parabolic subgroup of G. (2) In Theorem C the following additional assumption is required: the number of orbits of HC on XC is finite.",

author = "Avraham Aizenbud and Dmitry Gourevitch and Bernhard Kroetz and Gang Liu",

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year = "2016",

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doi = "10.1007/s00209-016-1699-5",

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Aizenbud, A , Gourevitch, D, Kroetz, B & Liu, G 2016, 'Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6)', Mathematische Zeitschrift, vol. 283, no. 3-4, pp. 993-994. https://doi.org/10.1007/s00209-016-1699-5

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6). / Aizenbud, Avraham ; Gourevitch, Dmitry; Kroetz, Bernhard et al.
In: Mathematische Zeitschrift, Vol. 283, No. 3-4, 08.2016, p. 993-994.

Research output: Contribution to journal › Article › peer-review

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AB - The following changes to the main results of [1] are necessary: (1) In Theorem A and Corollary B the following assumption is required: the number of orbits of the complexification HC on GC/PC is finite, where P is a minimal parabolic subgroup of G. (2) In Theorem C the following additional assumption is required: the number of orbits of HC on XC is finite.

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Aizenbud A , Gourevitch D, Kroetz B, Liu G. Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6). Mathematische Zeitschrift. 2016 Aug;283(3-4):993-994. doi: 10.1007/s00209-016-1699-5

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (vol 283, pg 979, 2016): Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture (Math. Z., 10.1007/s00209-016-1629-6)

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