Alexander Molev

Generalized finite and affine

W

-algebras in type

A

#1

(Dec 30, 2024)

e-Print:
- 2501.00271 [math-ph]

pdf

reference search0 citations

Eigenvalues of quantum Gelfand invariants

#2

(Jun 1, 2024)

Published in:
- J.Math.Phys. 65 (2024) 6, 061703

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Representations of the super-Yangian of type B(n,m)

#3

Alexander Molev
(
- U. Sydney (main)
)
,
Eric Ragoucy
(
- Annecy, LAPTH
)

(Nov 21, 2023)

Published in:
- J.Algebra 659 (2024) 1-22
•
e-Print:
- 2311.12479 [math.RT]

pdfDOI

reference search1 citation

On the quantum argument shift method

#4

(Sep 27, 2023)

e-Print:
- 2309.15684 [math.RT]

pdf

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Gaussian generators for the Yangian associated with the Lie superalgebra

osp (1 | 2 m)

#5

(Feb 2, 2023)

Published in:
- J.Algebra 655 (2024) 722-757
•
e-Print:
- 2302.00977 [math.QA]

pdfDOI

reference search4 citations

Quantum Sugawara operators in type A

#6

(Dec 21, 2022)

Published in:
- Adv.Math. 456 (2024) 109907
•
e-Print:
- 2212.11435 [math.QA]

pdfDOI

reference search1 citation

Representations of the Super Yangians of Types A and C

#7

Alexander Molev

(Oct 25, 2021)

Published in:
- Algebr.Represent.Theory 26 (2023) 4, 1007-1027,
- Algebr.Represent.Theory 26 (2023) 1007-1027
•
e-Print:
- 2110.12784 [math.RT]

DOI

reference search6 citations

Representations of Quantum Affine Algebras in their

R

-Matrix Realization

#8

Naihuan Jing
(
- North Carolina State U.
)
,
Ming Liu
(
- South China U. Tech.
)
,
Alexander Molev
(
- Sydney U.
)

(Dec 28, 2020)

Published in:
- SIGMA 16 (2020) 145
•
e-Print:
- 2008.07847

pdflinksDOI

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Isomorphism between the

R

-Matrix and Drinfeld Presentations of Quantum Affine Algebra: Types

B

and

D

#9

(2020)

Published in:
- SIGMA 16 (2020) 043

linksDOI

reference search16 citations

Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C

#10

(Mar 1, 2019)

Published in:
- J.Math.Phys. 61 (2020) 3, 031701
•
e-Print:
- 1903.00204 [math.QA]

pdfDOI

reference search20 citations

Supersymmetric W-algebras

#11

Alexander Molev
(
- U. Sydney (main)
)
,
Eric Ragoucy
(
- Annecy, LAPTH
)
,
Uhi Rinn Suh
(
- Seoul Natl. U. (main)
)

(Jan 19, 2019)

Published in:
- Lett.Math.Phys. 111 (2021) 1, 6,
- Lett.Math.Phys. 111 (2021) 1, 6
•
e-Print:
- 1901.06557 [math-ph]

pdfDOI

reference search4 citations

Higher-order Hamiltonians for the trigonometric Gaudin model

#12

Alexander Molev
(
- U. Sydney (main)
)
,
Eric Ragoucy
(
- Annecy, LAPTH
)

(Feb 19, 2018)

Published in:
- Lett.Math.Phys. 109 (2019) 9, 2035-2048
•
e-Print:
- 1802.06499 [math.QA]

pdfDOI

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Center of the quantum affine vertex algebra in type A

#13

(Feb 15, 2018)

Published in:
- J.Algebra 496 (2018) 138-186

DOI

reference search13 citations

Quantization of the shift of argument subalgebras in type A

#14

(Nov 5, 2015)

Published in:
- Adv.Math. 285 (2015) 1358-1375

DOI

reference search5 citations

Higher Sugawara Operators for the Quantum Affine Algebras of Type A

#15

Luc Frappat
(
- Annecy, LAPTH
)
,
Naihuan Jing
(
- South China U. Tech. and
- NCSU, Raleigh, Dept. Math.
)
,
Alexander Molev
(
- U. Sydney (main)
)
,
Eric Ragoucy
(
- Annecy, LAPTH
)

(May 14, 2015)

Published in:
- Commun.Math.Phys. 345 (2016) 2, 631-657
•
e-Print:
- 1505.03667 [math.QA]

pdfDOI

reference search7 citations

Representations of centrally extended Lie superalgebra

\mathfrak{psl}(2|2)

#16

(May 14, 2014)

Published in:
- J.Math.Phys. 55 (2014) 091704
•
e-Print:
- 1405.3420 [math.RT]

pdfDOI

reference search11 citations

Explicit generators in rectangular affine

\mathcal {W}

-algebras of type A

#17

(Mar 5, 2014)

Published in:
- Lett.Math.Phys. 107 (2017) 1, 47-59
•
e-Print:
- 1403.1017 [math.RT]

pdfDOI

reference search32 citations

Yangians and classical Lie algebras

#18

Alexander Molev
(
- Australian Natl. U., Canberra
)
,
Maxim Nazarov
(
- Swansea U.
)
,
Grigori Olshansky
(
- IITP, Moscow
)

(Sep, 1994)

Published in:
- Russ.Math.Surveys 51 (1996) 205
•
e-Print:
- hep-th/9409025 [hep-th]

pdfDOI

reference search114 citations

Noncommutative symmetric functions and laplace operators for classical lie algebras

#19

Alexander Molev
(
- Australian Natl. U., Canberra, CMA
)

(Sep, 1994)

Published in:
- Lett.Math.Phys. 35 (1995) 135-143
•
e-Print:
- hep-th/9409090 [hep-th]

pdfDOI

reference search3 citations

Yangians and classical lie algebras. Part 2. Sklyanin determinant, Laplace operators and characteristic identities

#20

Alexander Molev
(
- Australian Natl. U., Canberra
)

(May, 1994)

e-Print:
- hep-th/9409036 [hep-th]

pdf

reference search2 citations

Alexander Molev

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