More Like this

1. On the Expansion of Group-Based Lifts

   https://doi.org/10.1137/17M1141047  

   Agarwal, Naman; Chandrasekaran, Karthekeyan; Kolla, Alexandra; Madan, Vivek (January 2019, SIAM Journal on Discrete Mathematics)
2. Intersectional Group Agreement on the Occupational Order

   https://doi.org/10.1177/01902725241256378  

   Lynn, Freda B; Shi, Yongren; Kiley, Kevin (June 2024, Social Psychology Quarterly)

   When a group shares a viewpoint on a status order, their consensus imparts legitimacy to their shared understanding of that order. Conversely, a group espousing multiple viewpoints undermines the notion that one “true” hierarchy exists. To build empirical knowledge about how social groups contribute to the construction of status orders, we take the occupational hierarchy as a case study and map the structure of agreement across intersectional groups. First, we quantify the extent to which groups (1) agree internally on their occupational rankings (within-group consensus) and (2) agree with other groups (intergroup consensus). Using General Social Survey data on occupational perceptions, we find a cluster of privileged groups—namely, highly educated White men and women—who agree internally and with each other on the occupational status order. Lesser advantaged groups exhibit less internal agreement and do not cohere around an alternative conceptualization of value, leaving unchallenged the consensus of privileged groups. 

   more » « less
3. Discrete quantum walks on the symmetric group

   https://doi.org/10.1007/s40509-024-00332-9  

   Banerjee, Avah (October 2024, Quantum Studies: Mathematics and Foundations)
4. On twisted group frames

   https://doi.org/10.1016/j.laa.2018.11.034  

   Cheng, Chuangxun; Han, Deguang (May 2019, Linear Algebra and its Applications)
5. The mapping class group action on -character varieties

   https://doi.org/10.1017/etds.2020.50  

   GOLDMAN, WILLIAM M.; LAWTON, SEAN; XIA, EUGENE Z. (August 2021, Ergodic Theory and Dynamical Systems)

   Abstract Let $$\unicode[STIX]{x1D6F4}$$ be a compact orientable surface of genus $g=1$ with $n=1$ boundary component. The mapping class group $$\unicode[STIX]{x1D6E4}$$ of $$\unicode[STIX]{x1D6F4}$$ acts on the $$\mathsf{SU}(3)$$ -character variety of $$\unicode[STIX]{x1D6F4}$$ . We show that the action is ergodic with respect to the natural symplectic measure on the character variety. 

   more » « less