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Papers on Hopf algebras:
Papers on Hopf algebras:
Quantum-symmetric equivalence is a graded Morita invariant, (with H. Huang, V. Nguyen, K. Vashaw and P. Veerapen), Proc. Amer. Math. Soc., 153 (2025), no. 4, 1389--1409.
On Hopf algebras of dimension $p^n$ in characteristic $p$, (with S.-H. Ng), Contemp. Math., 814 (2025), 151--181.
Twisting Manin's universal quantum groups and comodule algebras, (with H. Huang, V. Nguyen, C. Ure, K. Vashaw and P. Veerapen), Adv. Math., 445 (2024), Paper No. 109651, 55pp.
A cogroupoid associated to preregular forms, (with H. Huang, V. Nguyen, C. Ure, K. Vashaw and P. Veerapen), J. Noncommut. Geom., 18 (2024), no. 4, 1453--1483.
Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equations, (with H. Huang, V. Nguyen, C. Ure, K. Vashaw and P. Veerapen), Tranform. Groups, 29 (2024), no. 4, 1459--1500.
Calabi-Yau property of quantum groups of $GL(2)$ representation type, (wth X.-L. Yu), J. Algebra Appl. 22 (2023), no. 6, Paper No. 2450104, 28 pp.
New approaches to finite generation of cohomology rings, (with V. Nguyen and S. Witherspoon), J. Algebra 587 (2021), 390--428.
Gelfand-Kirillov dimension of cosemisimple Hopf algebras, (with A. Chirvasitu and C. Walton), Proc. Amer. Math. Soc., 147 (2019), 4665--4672.
Primitive deformations of quantum $p$-groups, (with V. Nguyen and L. Wang), Algebr. Represent. Theory 22 (2019), no.4, 837--865.
Hopf algebras of prime dimension in positive characteristic, (with S.-H. Ng), Bull. Lond. Math. Soc. 51 (2019), no. 3, 459--465.
A note on Masuoka's theorem for semisimple irreducible Hopf algebras, Arch. Math. (Basel) 113 (2019), no. 1, 11--20.
On quantum groups associated to a pair of preregular forms, (with A. Chirvasitu and C. Walton), J. Noncommut. Geom. 13 (2019), no. 1, 115--159.
On the structure and cohomology ring of connected Hopf algebras, (with K. Erdmann and O. Solberg), J. Algebra 527 (2019), 366--398.
Finite generation of some cohomology rings via twisted tensor product and Anick resolutions, (with V. Nguyen and S. Witherspoon), J. Pure Appl. Algebra 223 (2019), 316--339.
Indicators of pointed Hopf algebras of dimension $pq$ over characteristic $p$, (with S.~Chen, T.~Liu, and L.~Wang), Missouri J. Math. Sci. 30 (2018), no. 2, 176--184.
Indicators of Hopf algebras in positive characteristic, (with L. Wang), Arch. Math. (Basel) 111 (2018), no. 5, 485--491.
A note on the bijectivity of antipode of a Hopf algebra and its applications, (with J.-F. Lu, S.-Q. Oh, and X.-L. Yu), Proc. Amer. Math. Soc. 146 (2018), no. 11, 4619--4631.
Pointed $p^3$-dimensional Hopf algebras in positive characteristic, (with V. Nguyen), Algebra Colloq. 25, no. 3 (2018), pp. 399--436.
Computing indicators of Radford algebras, (with H. Hu, X. Hu, and L. Wang), Involve, a journal of mathematics 11 (2018), no. 2, 325--334.
Calabi-Yau property under monoidal Morita-Takeuchi equivalence, (with X.-L. Yu and Y. Zhang), Pacific J. Math. 290 (2017), no. 2, 481--510.
On quantum groups associated to non-noetherian regular algebras of dimension 2, (with C. Walton), Math. Z. 284 (2016), no. 1, 543--574.
Isomorphism classes of finite-dimensional connected Hopf algebras in positive characteristic, Adv. Math. 281 (2015), 594--623.
Universal enveloping algebras of Poisson Hopf algebras, (with J.-F. Lu and G. Zhuang), J. Algebra 426 (2015), 92--136.
Classification of connected Hopf algebras of dimension $p^3$ I, (with V. Nguyen and L. Wang), J. Algebra 424 (2015), 473--505.
Classification of pointed Hopf algebras of dimension $p^2$ over any algebraically closed field, (with L. Wang), Algebr. Represent. Theory 17 (2014), no. 4, 1267--1276.
Local criteria for cocommutative Hopf algebras, Comm. Algebra 42 (2014), no. 12, 5180--5191.
Connected Hopf algebras of dimension $p^2$, J. Algebra 391 (2013), 93--113.
Papers on quantum algebras/Poisson algebras:
Papers on quantum algebras/Poisson algebras:
Twists of graded Poisson algebras and applications, (with X. Tang and J. J. Zhang), J. Geom. Phys., 207 (2025), No. 105344, 31pp.
Twists of graded Poisson algebras and applications, (with X. Tang and J. J. Zhang), J. Geom. Phys., 207 (2025), No. 105344, 31pp.
Homological properties of 3-dimensional DG Sklyanin algebras, (with X.-F. Mao, H. Wang, Y.-N. Yang and M.-Y. Zhang), J. Algebra Appl., 23 (2024), no. 13, Paper No. 2450230, 35 pp.
Homological properties of 3-dimensional DG Sklyanin algebras, (with X.-F. Mao, H. Wang, Y.-N. Yang and M.-Y. Zhang), J. Algebra Appl., 23 (2024), no. 13, Paper No. 2450230, 35 pp.
A survey on Zariski cancellation problems for noncommutative and Poisson algebras, (with H. Huang and X. Tang), Contemp. Math., 801 (2024), no. 4, 1453--1483.
A survey on Zariski cancellation problems for noncommutative and Poisson algebras, (with H. Huang and X. Tang), Contemp. Math., 801 (2024), no. 4, 1453--1483.
Reflection groups and rigidity of quadratic Poisson algebras, (with J. Gaddis and P. Veerapen), Algebr. Represent. Theory 26 (2023), 329--358.
Reflection groups and rigidity of quadratic Poisson algebras, (with J. Gaddis and P. Veerapen), Algebr. Represent. Theory 26 (2023), 329--358.
Cancellation and skew cancellation for Poisson algebras, (with J. Gaddis and D. Yee), Math. Z. 301 (2022), 3503--3523.
DG algebra structures on the quantum affine $n$-space $\mathcal O_{-1}(k^n)$, (with X.-F. Mao and M.-Y. Zhang), J. Algebra 594 (2022), 389--482.
Poisson geometry and representations of PI 4-dimensional Sklyanin algebras, (with C. Walton and M. Yakimov), Selecta Math. 27, (2021), 1--60.
Poisson Dixmier-Moeglin equivalence from a topological point of view, (with J. Luo and Q.-S. Wu), Israel J. Math., (2020), 1--37.
A note on the duality between Poisson homology and cohomology, (with J.-F. Lu and G. Zhuang), Comm. Algebra 48 (10) (2020), 4170-4175.
A note on generic Clifford algebras of binary cubic forms, (with L. Wang), Algebr. Represent. Theory 23 (4) (2020), 1797--1806.
The Zariski cancellation problem for Poisson algebras, (with J. Gaddis), J. Lond. Math. Soc. 101 (2020) no. 3, 1250--1279.
Nonsplit module extensions over the one-sided inverse of $k[x]$, (with Z.-P. Lu and L.~Wang), Involve, a journal of mathematics 12 (2019), no. 8, 1369--1377.
PBW-basis for universal enveloping algebras of differential graded Poisson algebras, (with X.-G. Hu and J.-F. Lu), Bull. Malays. Math. Sci. Soc. 42 (2019), no. 6, 3343--3377.
The Dixmier-Moeglin equivalence, Morita equivalence, and homeomorphism of spectra, (with J. Bell and D. Yee), J. Algebra 534 (2019), 228--244.
On $q$-commutative power and Laurent series rings at roots of unity, (with E. S. Letzter and L. Wang), Comm. Algebra 47 (2019), no. 5, 2149--2156.
Poisson geometry of PI three-dimensional Sklyanin algebras, (with C. Walton and M. Yakimov), Proc. Lond. Math. Soc. (3) 118 (2019), no. 6, 1471--1500.
DG Poisson adjoint action and its application, (with X.-J. Li, X.-G. Hu, J.-F. Lu), Eur. J. Pure Appl. Math. 12 (2019), no.1, 14--24.
Enveloping algebras of double Poison-Ore extensions, (with J.-F. Lu, S.-Q. Oh, and X.-L. Yu), Comm. Algebra 46 (2018), no. 11, 4891--4904.
The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras, (with M. Guo, X. Hu, and J.-F. Lu), Comm. Algebra 46, no. 6 (2018), pp. 2714--2729.
Homological unimodularity and Calabi-Yau condition for Poisson algebras, (with J.-F. Lu and G. Zhuang), Lett. Math. Phys. 107 (2017), no. 9, 1715--1740.
DG Poisson algebra and its universal enveloping algebra, (with J.-F. Lu and G. Zhuang), Sci. China Math. 59 (2016), no. 5, 849--860.
Universal enveloping algebras of Poisson-Ore extensions, (with J.-F. Lu and G. Zhuang), Proc. Amer. Math. Soc. 143 (2015), no. 11, 4633--4645.
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Zoom talk on V Non-Associative Day
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