S.E. Konstein

32 results

Citation Summary

Most Recent

Ideals generated by traces or by supertraces in the symplectic reflection algebra

H_{1,\nu}(I_2(2m+1))

(Dec 10, 2020)

e-Print:
- 2012.05779 [math.RT]

pdfDOI

reference search0 citations

Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models

(Sep 6, 2019)

Published in:
- J.Nonlin.Math.Phys. 27 (2020) 1, 7-11,
- J.Nonlin.Mathematical Phys. 27 (2020) 1
•
e-Print:
- 1909.02781 [math-ph]

pdfDOI

reference search4 citations

Traces and Supertraces on Symplectic Reflection Algebras

(Apr 10, 2019)

Published in:
- Theor.Math.Phys. 198 (2019) 2, 249-255,
- Theor.Math.Phys. 201 (2019) 2, 1680-1680 (erratum),
- Teor.Mat.Fiz. 198 (2019) 2, 284-291

reference search2 citations

The number of independent Traces and Supertraces on the Symplectic Reflection Algebra

H_{1,\nu}(\Gamma \wr S_N)

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst. and
- Tomsk Pedagogical Inst.
)

(Nov 27, 2017)

Published in:
- J.Nonlin.Math.Phys. 25 (2018) 3, 485-496,
- J.Nonlin.Mathematical Phys. 25 (2018) 3
•
e-Print:
- 1711.09950 [math.RT]

pdfDOI

reference search2 citations

Ideals generated by traces or by supertraces in the symplectic reflection algebra

H_{1,\nu}(I_2(2m+1))

S.E. Konstein
(
- Lebedev Inst. and
- Al Farabi Kazakh Natl. U.
)
,
I.V. Tyutin
(
- Tomsk Pedagogical Inst. and
- Lebedev Inst.
)

(Dec 1, 2016)

Published in:
- J.Nonlin.Math.Phys. 24 (2017) 3, 405-425,
- J.Nonlin.Mathematical Phys. 24 3
•
e-Print:
- 1612.00536 [math.RT]

pdfDOI

reference search3 citations

Ideals generated by traces in the algebra of symplectic reflections

{H_{1,{v_{1,}}{v_2}}}\left( {{I_2}\left( {2m} \right)} \right)

(Feb, 2016)

Published in:
- Theor.Math.Phys. 187 (2016) 2, 706-717,
- Teor.Mat.Fiz. 187 (2016) 2, 297-309

DOI

reference search2 citations

Deformations of the antibracket with Grassmann-valued deformation parameters

S.E. Konstein
(
- Lebedev Inst. and
- Al Farabi Kazakh Natl. U.
)
,
I.V. Tyutin
(
- Lebedev Inst. and
- Tomsk Pedagogical Inst.
)

(2015)

Published in:
- Theor.Math.Phys. 183 (2015) 1, 501-515,
- Teor.Mat.Fiz. 183 (2015) 1, 62-77

DOI

reference search0 citations

The number of independent traces and supertraces on symplectic reflection algebras

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Aug 14, 2013)

Published in:
- J.Nonlin.Math.Phys. 21 (2014) 3, 308-335,
- J.Nonlin.Mathematical Phys. 21 3
•
e-Print:
- 1308.3190 [math.RT]

pdfDOI

reference search5 citations

Klein operator and the Number of independent Traces and Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

S.E. Konstein
(
- Lebedev Inst.
)
,
R. Stekolshchik
(
- Lebedev Inst.
)

(Dec 3, 2012)

Published in:
- J.Nonlin.Math.Phys. 20 (2013) 2, 295-308
•
e-Print:
- 1212.0508 [math.RT]

pdfDOI

reference search8 citations

Traces on the Algebra of Observables of the Rational CalogeroModel Based on the Root System

#10

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Nov, 2012)

Published in:
- J.Nonlin.Math.Phys. 20 (2013) 2, 271-294
•
e-Print:
- 1211.6600 [math.RT]

pdfDOI

reference search8 citations

The Deformations of antibracket with even and odd deformation parameters, defined on the space

DE_1

#11

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Dec, 2011)

e-Print:
- 1112.1686 [math-ph]

pdf

reference search4 citations

The deformations of antibracket with even and odd deformation parameters

#12

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Nov, 2010)

e-Print:
- 1011.5807 [math-ph]

pdf

reference search3 citations

The Deformations of nondegenerate constant Poisson bracket with even and odd deformation parameters

#13

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Jan, 2010)

e-Print:
- 1001.1776 [math.QA]

pdf

reference search4 citations

The Number of Supertraces on the Superalgebra of Observables of Rational Calogero Model based on the Root System

#14

S.E. Konstein
(
- Lebedev Inst.
)
,
R. Stekolshchik
(
- ECI, Israel
)

(Nov, 2008)

e-Print:
- 0811.2487 [math-ph]

pdf

reference search3 citations

Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension

#15

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(2008)

Published in:
- Theor.Math.Phys. 155 (2008) 598-605,
- Teor.Mat.Fiz. 155 (2008) 109-116

DOI

reference search0 citations

Deformations and central extensions of the antibracket superalgebra

#16

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(2008)

Published in:
- J.Math.Phys. 49 (2008) 072103

DOI

reference search7 citations

Cohomologies of superalgebra of pointwise superproduct

#17

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Nov, 2007)

e-Print:
- 0711.1596 [hep-th]

pdf

reference search0 citations

General form of the deformation of the Poisson superbracket on (2,n)-dimensional superspace

#18

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Oct, 2006)

Published in:
- Theor.Math.Phys. 155 (2008) 734-753
•
e-Print:
- hep-th/0610308 [hep-th]

pdfDOI

reference search2 citations

Cohomology of antipoisson superalgebra

#19

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Dec, 2005)

e-Print:
- hep-th/0512300 [hep-th]

pdf

reference search3 citations

Deformations of the antibracket

#20

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Dec, 2005)

e-Print:
- hep-th/0512313 [hep-th]

pdf

reference search1 citation

Deformations of the central extension of the Poisson superalgebra

#21

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Jan, 2005)

e-Print:
- hep-th/0501027 [hep-th]

pdf

reference search1 citation

Cohomologies of the poisson superalgebra on (2,n)-superdimensional spaces

#22

S.E. Konstein
(
- Lebedev Inst.
)
,
I.V. Tyutin
(
- Lebedev Inst.
)

(Nov, 2004)

Published in:
- Theor.Math.Phys. 145 (2005) 1619-1645
•
e-Print:
- hep-th/0411235 [hep-th]

pdfDOI

reference search4 citations

General form of deformation of Poisson superbracket

#23

(Jan, 2004)

e-Print:
- hep-th/0401023 [hep-th]

pdf

reference search4 citations

Cohomologies of the Poisson superalgebra

#24

(Dec, 2003)

Published in:
- Theor.Math.Phys. 143 (2005) 625-650,
- Teor.Mat.Fiz. 143 (2005) 163-194,
- Theor.Math.Phys. 144 (2005) 1372-1372 (erratum)
•
e-Print:
- hep-th/0312109 [hep-th]

pdf

reference search12 citations

An Example of simple Lie superalgebra with several invariant bilinear forms

#25

S.E. Konstein
(
- Lebedev Inst.
)

(Dec, 2001)

e-Print:
- math-ph/0112063 [math-ph]

pdf

reference search2 citations

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