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83<img alt="Kang Lu" class="site-author-image" itemprop="image" src="/wp-content/uploads/2019/04/cropped-kang-lu-math.jpg"/>
84<p class="site-author-name" itemprop="name">Kang Lu</p>
85<div class="site-description" itemprop="description">I am a research associate and lecturer at University of Virginia. My research interest includes quantum algebras, representation theory, and mathematical physics.</div>
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108Algebra Seminar @UVA
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133Research
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141<span class="post-meta-item-text">Edited on</span>
142<time datetime="2026-02-29T16:55:38-04:00" itemprop="dateModified" title="Modified: 202

1426-02-29 16:55:38">2026-02-29</time>
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147<div class="post-body" itemprop="articleBody"><h3 id="Research-Interests"><a class="headerlink" href="#Research-Interests" title="Research Interests"></a><a href="#Research-Interests" title="Research Interests"></a>Research Interests</h3><p>Generally speaking, I am interested in Representation Theory and Quantum Algebras.</p>
148<p>More specifically, my current research interests are: Bethe ansatz method, Representation Theory of Quantum Groups, Lie Algebras and Superalgebras, and Integrable System.</p>
149<h3 id="Preprints"><a class="headerlink" href="#Preprints" title="Preprints"></a>Preprints</h3><blockquote>
150<p>See also  arXiv</p>
151</blockquote>
152<ol>
153<li><em>A Drinfeld type Presentation of twisted Yangians</em><br/> (with Weiqiang Wang and Weinan Zhang), in preparation</li>
154</ol>
155<h3 id="Publications"><a class="headerlink" href="#Publications" title="Publications"></a>Publications</h3><blockquote>
156<p>See also MathSciNet.</p>
157</blockquote>
158<ol>
159<li><em>On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains</em><br/> J. High Energ. Phys. 04, Article number: 120 (2023), (arXiv:2209.14416)</li>
160<li><em>Schur-Weyl duality for quantum toroidal superalgebras</em><br/> J. Pure Appl. Algebra 227 (2023), no. 9, 107382, (arXiv:2109.09005)</li>
161<li><em>Completeness of Bethe ansatz for Gaudin models associated with $\mathfrak{gl}(1|1)$</em><br/> Nuclear Phys. B 980 (2022), Paper No. 115790, 23 pp (arXiv:2202.08162)</li>
162<li><em>A note on odd reflections of super Yangian and Bethe ansatz</em><br/> Lett. Math. Phys. 112 (2022), Article no.: 29 (arXiv:2111.10655)</li>
163<li>Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra<br/> Lett. Math. Phys. 111 (2021), Article no.: 145 (arXiv:2103.08758).</li>
164<li>Bethe ansatz equations for orthosymplectic Lie superalgebra and self-dual superspaces<br/> (with E. Mukhin), Annales Henri Poincaré 22 (2021), 4087–4130 , (arXiv:2103.16729).</li>
165<li>On the supersymmetric XXX spin chains associated to $\mathfrak{gl}_{1|1}$<br/> (with E. Mukhin), Commun. Math. Phys. 386 (2021), 711–747, (arXiv:1910.13360).</li>
166<li>Jacobi-Trudi identity and Drinfeld functor for super Yangian<br/> (with E. Mukhin), Int. Math. Res. Not. IMRN 2021 (2021), no. 21, 16749–16808, (arXiv:2007.15573).</li>
167<li><em>Perfect integrability and Gaudin models</em><br/> SIGMA 16 (2020), 132, 10 pages, (arXiv:2008.06825).</li>
168<li><em>Solutions of \(\mathfrak{gl}_{m|n}\) XXX Bethe ansatz equation and rational difference operators</em><br/> (with Chenliang Huang, E. Mukhin), J. Phys. A: Math. Theor. 52 (2019) 375204 (31pp), (arXiv:1811.11225)</li>
169<li><em>On the Gaudin model of type \(G_2\)</em><br/> (with E. Mukhin), Commun. Contemp. Math. 21 (2019), no. 3, 1850012, 31 pages, (arXiv:1711.02511)</li>
170<li><em>Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems</em><br/> (with Gang Han, Yucheng Liu), Algebra Colloq. 26 (2019), no. 1, 123-138, (arXiv:1611.03943)</li>
171<li><em>Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus</em><br/> SIGMA 14 (2018), 046, 15 pages, (arXiv:1710.06534)</li>
172<li><em>Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)</em><br/> (with E. Mukhin, A. Varchenko), Pure Appl. Math. Q. 13 (2017), no.2, 291 – 335 , a special issue of in honor of Yuri Manin’s 80-th birthday, (arXiv:1705.02048)</li>
173<li><em>On the Gaudin model associated to Lie algebras of classical types</em><br/>(with E. Mukhin, A. Varchenko), J. Math. Phys. 57 (2016), 101703, 23 pages (arXiv:1512.08524)</li>
174</ol>
175<h3 id="Collaborators"><a class="headerlink" href="#Collaborators" title="Collaborators"></a>Collaborators</h3><ul>
176<li>Gang Han</li>
177<li>Chenliang Huang</li>
178<li>Yucheng Liu</li>
179<li>Evgeny Mukhin</li>
180<li>Alexander Varchenko</li>
181<li>Weiqiang Wang</li>
182<li><a href="#" rel="noopener" target="_blank">Weinan Zhang</a></li>
183</ul>
184<blockquote>
185<p>My Erdös Number: 4.<br/>Paul Erdős–>Shizuo Kakutani–>Karl Endel Petersen–>A. N. Varchenko–>Kang Lu</p>
186</blockquote>
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