A representation-theoretic criterion for local solvability of left invariant differential operators on nilpotent Lie groups

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1981-0597870-6 ◽

1981 ◽

Vol 264 (1) ◽

pp. 113-113 ◽

Author(s):

Lawrence Corwin

Keyword(s):

Differential Operators ◽

Local Solvability ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent lie groups

Acta Mathematica ◽

10.1007/bf02392875 ◽

1981 ◽

Vol 147 (0) ◽

pp. 265-288 ◽

Author(s):

L. Corwin ◽

L. P. Rothschild

Keyword(s):

Differential Operators ◽

Necessary Conditions ◽

Local Solvability ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups

Communications in Partial Differential Equations ◽

10.1080/03605308108820187 ◽

1981 ◽

Vol 6 (6) ◽

pp. 625-650 ◽

Author(s):

Linda Preiss Rothschild ◽

David S. Tartakoff

Keyword(s):

Differential Operators ◽

Local Solvability ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1991.416.207 ◽

1991 ◽

Vol 1991 (416) ◽

pp. 207-219 ◽

Keyword(s):

Differential Operators ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential ◽

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Solvability of left invariant differential operators on nilpotent lie groups

Lie Group Representations III - Lecture Notes in Mathematics ◽

10.1007/bfb0072336 ◽

1984 ◽

pp. 23-59 ◽

Author(s):

Lawrence Corwin

Keyword(s):

Differential Operators ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Existence of solutions for transversally elliptic left invariant differential operators on nilpotent Lie groups

Journées Équations aux dérivées partielles ◽

10.5802/jedp.276 ◽

1983 ◽

pp. 1-6

Author(s):

Linda P. Rothschild

Keyword(s):

Differential Operators ◽

Existence Of Solutions ◽

Nilpotent Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Invariant differential operators for non-compact Lie groups: the SO*(12) case

Journal of Physics Conference Series ◽

10.1088/1742-6596/597/1/012032 ◽

2015 ◽

Vol 597 ◽

pp. 012032

Author(s):

V K Dobrev

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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ON THE LOCAL SOLVABILITY OF DIFFERENTIAL EQUATIONS ASSOCIATED TO UNSOLVABLE INHOMOGENEOUS LEFT INVARIANT DIFFERENTIAL OPERATORS ON THE HEISENBERG GROUP

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30145-0 ◽

1994 ◽

Vol 14 (3) ◽

pp. 318-328

Author(s):

Shangbin Cui

Keyword(s):

Differential Equations ◽

Heisenberg Group ◽

Differential Operators ◽

Local Solvability ◽

Invariant Differential Operators ◽

Invariant Differential

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Invariant differential operators for non-compact Lie groups: The main su(n, n) cases

Physics of Atomic Nuclei ◽

10.1134/s1063778813080073 ◽

2013 ◽

Vol 76 (8) ◽

pp. 983-990 ◽

Author(s):

V. K. Dobrev

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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Local solvability of second order differential operators on nilpotent Lie groups

Arkiv för matematik ◽

10.1007/bf02384475 ◽

1981 ◽

Vol 19 (1-2) ◽

pp. 145-175 ◽

Author(s):

Linda Preiss Rothschild

Keyword(s):

Differential Operators ◽

Local Solvability ◽

Second Order ◽

Nilpotent Lie Groups

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Invariant differential operators for non-compact Lie groups: Summary of su(4,4) multiplets

Physics of Particles and Nuclei Letters ◽

10.1134/s154747711702008x ◽

2017 ◽

Vol 14 (2) ◽

pp. 277-285

Author(s):

V. K. Dobrev

Keyword(s):

Differential Operators ◽

Compact Lie Groups ◽

Invariant Differential Operators ◽

Invariant Differential

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